Relevant bibliographies by topics / Strong maximum principles

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Strong maximum principles'

Author: Grafiati
Published: 4 June 2021
Last updated: 17 February 2022

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Journal articles on the topic "Strong maximum principles"

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Musina, Roberta, and Alexander I. Nazarov. "Strong maximum principles for fractional Laplacians." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 149, no. 5 (January 16, 2019): 1223–40. http://dx.doi.org/10.1017/prm.2018.81.

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AbstractWe give a unified approach to strong maximum principles for a large class of nonlocal operators of order s ∈ (0, 1) that includes the Dirichlet, the Neumann Restricted (or Regional) and the Neumann Semirestricted Laplacians.
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Stehlík, Petr, and Jonáš Volek. "Maximum Principles for Discrete and Semidiscrete Reaction-Diffusion Equation." Discrete Dynamics in Nature and Society 2015 (2015): 1–13. http://dx.doi.org/10.1155/2015/791304.

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We study reaction-diffusion equations with a general reaction functionfon one-dimensional lattices with continuous or discrete timeux′ (or Δtux)=k(ux-1-2ux+ux+1)+f(ux),x∈Z. We prove weak and strong maximum and minimum principles for corresponding initial-boundary value problems. Whereas the maximum principles in the semidiscrete case (continuous time) exhibit similar features to those of fully continuous reaction-diffusion model, in the discrete case the weak maximum principle holds for a smaller class of functions and the strong maximum principle is valid in a weaker sense. We describe in detail how the validity of maximum principles depends on the nonlinearity and the time step. We illustrate our results on the Nagumo equation with the bistable nonlinearity.
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Montenegro, Marcelo. "Strong maximum principles for supersolutions of quasilinear elliptic equations." Nonlinear Analysis: Theory, Methods & Applications 37, no. 4 (August 1999): 431–48. http://dx.doi.org/10.1016/s0362-546x(98)00057-1.

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CAMPOS, J., J. MAWHIN, and R. ORTEGA. "MAXIMUM PRINCIPLES AROUND AN EIGENVALUE WITH CONSTANT EIGENFUNCTIONS." Communications in Contemporary Mathematics 10, no. 06 (December 2008): 1243–59. http://dx.doi.org/10.1142/s021919970800323x.

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A class of linear operators L + λI between suitable function spaces is considered, when 0 is an eigenvalue of L with constant eigenfunctions. It is proved that L + λI satisfies a strong maximum principle when λ belongs to a suitable pointed left-neighborhood of 0, and satisfies a strong uniform anti-maximum principle when λ belongs to a suitable pointed right-neighborhood of 0. Applications are given to various types of ordinary or partial differential operators with periodic or Neumann boundary conditions.
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Huang, Qiao, Jinqiao Duan, and Jiang-Lun Wu. "Maximum principles for nonlocal parabolic Waldenfels operators." Bulletin of Mathematical Sciences 09, no. 03 (December 2019): 1950015. http://dx.doi.org/10.1142/s1664360719500152.

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As a class of Lévy type Markov generators, nonlocal Waldenfels operators appear naturally in the context of investigating stochastic dynamics under Lévy fluctuations and constructing Markov processes with boundary conditions (in particular the construction with jumps). This work is devoted to prove the weak and strong maximum principles for ‘parabolic’ equations with nonlocal Waldenfels operators. Applications in stochastic differential equations with [Formula: see text]-stable Lévy processes are presented to illustrate the maximum principles.
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Amendola, M. E., L. Rossi, and A. Vitolo. "Harnack Inequalities and ABP Estimates for Nonlinear Second-Order Elliptic Equations in Unbounded Domains." Abstract and Applied Analysis 2008 (2008): 1–19. http://dx.doi.org/10.1155/2008/178534.

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We are concerned with fully nonlinear uniformly elliptic operators with a superlinear gradient term. We look for local estimates, such as weak Harnack inequality and local maximum principle, and their extension up to the boundary. As applications, we deduce ABP-type estimates and weak maximum principles in general unbounded domains, a strong maximum principle, and a Liouville-type theorem.
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Byszewski, L. "Strong Maximum and Minimum Principles for Parabolic Problems with Non-local Inequalities." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 70, no. 3 (1990): 202–6. http://dx.doi.org/10.1002/zamm.19900700312.

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Sirakov, Boyan. "Boundary Harnack Estimates and Quantitative Strong Maximum Principles for Uniformly Elliptic PDE." International Mathematics Research Notices 2018, no. 24 (May 30, 2017): 7457–82. http://dx.doi.org/10.1093/imrn/rnx107.

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Ishihara, Kazuo. "Strong and weak discrete maximum principles for matrices associated with elliptic problems." Linear Algebra and its Applications 88-89 (April 1987): 431–48. http://dx.doi.org/10.1016/0024-3795(87)90119-4.

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Slavík, Antonín, Petr Stehlík, and Jonáš Volek. "Well-posedness and maximum principles for lattice reaction-diffusion equations." Advances in Nonlinear Analysis 8, no. 1 (March 17, 2017): 303–22. http://dx.doi.org/10.1515/anona-2016-0116.

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Abstract Existence, uniqueness and continuous dependence results together with maximum principles represent key tools in the analysis of lattice reaction-diffusion equations. In this paper, we study these questions in full generality by considering nonautonomous reaction functions, possibly nonsymmetric diffusion and continuous, discrete or mixed time. First, we prove the local existence and global uniqueness of bounded solutions, as well as the continuous dependence of solutions on the underlying time structure and on initial conditions. Next, we obtain the weak maximum principle which enables us to get the global existence of solutions. Finally, we provide the strong maximum principle which exhibits an interesting dependence on the time structure. Our results are illustrated by the autonomous Fisher and Nagumo lattice equations and a nonautonomous logistic population model with a variable carrying capacity.
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Dissertations / Theses on the topic "Strong maximum principles"

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Neji, Ali. "Existence unicité et régularité de solutions de problèmes non linéaires et complètement non linéaires elliptiques singuliers." Thesis, Cergy-Pontoise, 2019. http://www.theses.fr/2019CERG1017.

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Dans cette thèse on s'intéresse à l'existence, et la régularité pour des équations aux dérivées partielles non linéaires relatives au p-Laplacien , avec des termes d'ordre critiques ou sous critique, utilisant dans un cas le lemme du col d'Ambrozetti Rabinowitz, dans l'autre la concentration compacité de P L Lions. On considère ensuite un problème qui présente un terme d'ordre zéro qui "explose " près du bord, sur le modèle d'un article de Lazer mackenna, la différence essentielle étant ici que l'on a aussi un terme d'ordre 0 linéaire, qui demande donc l'utilisation de certaines fonctions propres. Une généralisation de ce problème à des cas complètement non linéaires et donc à des solutions de viscosité est étudiée dans la dernière partie de la thèse
We studied in this thesis the properties of existence and regularity for various nonlinear partial differential equations of elliptic type. We proved the existence of weak solutions to certain problems involving the p-Laplacian operator using critical point theory and the mountain pass theorem . We have also showed the existence of viscosity solutions for singular equations involving fully nonlinear operators
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Santos, Telma João. "Some versions of the Strong Maximum Principal for elliptic integral functionals." Doctoral thesis, Universidade de Évora, 2011. http://hdl.handle.net/10174/9506.

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The Strong Maximum Principle (SMP) is a well-known property, which can be recognized as a kind of uniqueness result for solutions of Partial Differential Equations. Through the necessary conditions of optimality it is applicable to minimizers in some classes of variational problems as well. The work is devoted to various versions of SMP in such variational setting, which hold also if the respective Euler-Lagrange equations are no longer valid. We prove variational SMP for some types of integral functionals in the traditional sense as well as obtain an extension of this principle, which can be seen as an extremal property of a series of specific functions.
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Evans, Lawrence C. 1949. "A strong maximum principle for reaction-diffusion systems and a weak convergence scheme for reflected stochastic differential equations by Lawrence Christopher Evans." Thesis, Massachusetts Institute of Technology, 2010. http://hdl.handle.net/1721.1/59784.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2010.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 125-126).
This thesis consists of two results. The first result is a strong maximum principle for certain parabolic systems of equations, which, for illustrative purposes, I consider as reaction-diffusion systems. Using the theory of viscosity solutions, I give a proof which extends the previous theorem to no longer require any regularity assumptions on the boundary of the convex set in which the system takes its values. The second result is an approximation scheme for reflected stochastic differential equations (SDE) of the Stratonovich type. This is a joint result with Professor Daniel W. Stroock. We show that the distribution of the solution to such a reflected SDE is the weak limit of the distribution of the solutions of the reflected SDEs one gets by replacing the driving Brownian motion by its N-dyadic linear interpolation. In particular, we can infer geometric properties of the solutions to a Stratonovich reflected SDE from those of the solutions to the approximating reflected SDE.
Ph.D.
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Nguyen, Thi Tuyen. "Comportement en temps long des solutions de quelques équations de Hamilton-Jacobi du premier et second ordre, locales et non-locales, dans des cas non-périodiques." Thesis, Rennes 1, 2016. http://www.theses.fr/2016REN1S089/document.

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La motivation principale de cette thèse est l'étude du comportement en temps grand des solutions non-bornées d'équations de Hamilton-Jacobi visqueuses dans RN en présence d'un terme d'Ornstein-Uhlenbeck. Nous considérons la même question dans le cas d'une équation de Hamilton-Jacobi du premier ordre. Dans le premier cas, qui constitue le cœur de la thèse, nous généralisons les résultats de Fujita, Ishii et Loreti (2006) dans plusieurs directions. La première est de considérer des opérateurs de diffusion plus généraux en remplaçant le Laplacien par une matrice de diffusion quelconque. Nous considérons ensuite des opérateurs non-locaux intégro-différentiels de type Laplacien fractionnaire. Le second type d'extension concerne le Hamiltonien qui peut dépendre de x et est seulement supposé sous-linéaire par rapport au gradient
The main aim of this thesis is to study large time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in RN in presence of an Ornstein-Uhlenbeck drift. We also consider the same issue for a first order Hamilton-Jacobi equation. In the first case, which is the core of the thesis, we generalize the results obtained by Fujita, Ishii and Loreti (2006) in several directions. The first one is to consider more general operators. We first replace the Laplacian by a general diffusion matrix and then consider a non-local integro-differential operator of fractional Laplacian type. The second kind of extension is to deal with more general Hamiltonians which are merely sublinear
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Ciomaga, Adina. "Analytical properties of viscosity solutions for integro-differential equations : image visualization and restoration by curvature motions." Phd thesis, École normale supérieure de Cachan - ENS Cachan, 2011. http://tel.archives-ouvertes.fr/tel-00624378.

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Le manuscrit est constitué de deux parties indépendantes.Propriétés des Solutions de Viscosité des Equations Integro-Différentielles.Nous considérons des équations intégro-différentielles elliptiques et paraboliques non-linéaires (EID), où les termes non-locaux sont associés à des processus de Lévy. Ce travail est motivé par l'étude du Comportement en temps long des solutions de viscosité des EID, dans le cas périodique. Le résultat classique nous dit que la solution u(¢, t ) du problème de Dirichlet pour EID se comporte comme ?t Åv(x)Åo(1) quand t !1, où v est la solution du problème ergodique stationaire qui correspond à une unique constante ergodique ?.En général, l'étude du comportement asymptotique est basé sur deux arguments: la régularité de solutions et le principe de maximumfort.Dans un premier temps, nous étudions le Principe de Maximum Fort pour les solutions de viscosité semicontinues des équations intégro-différentielles non-linéaires. Nous l'utilisons ensuite pour déduire un résultat de comparaison fort entre sous et sur-solutions des équations intégro-différentielles, qui va assurer l'unicité des solutions du problème ergodique à une constante additive près. De plus, pour des équationssuper-quadratiques le principe de maximum fort et en conséquence le comportement en temps grand exige la régularité Lipschitzienne.Dans une deuxième partie, nous établissons de nouvelles estimations Hölderiennes et Lipschitziennes pour les solutions de viscosité d'une large classe d'équations intégro-différentielles non-linéaires, par la méthode classique de Ishii-Lions. Les résultats de régularité aident de plus à la résolution du problème ergodique et sont utilisés pour fournir existence des solutions périodiques des EID.Nos résultats s'appliquent à une nouvelle classe d'équations non-locales que nous appelons équations intégro-différentielles mixtes. Ces équations sont particulièrement intéressantes, car elles sont dégénérées à la fois dans le terme local et non-local, mais leur comportement global est conduit par l'interaction locale - non-locale, par exemple la diffusion fractionnaire peut donner l'ellipticité dans une direction et la diffusion classique dans la direction orthogonale.Visualisation et Restauration d'Images par Mouvements de CourbureLe rôle de la courbure dans la perception visuelle remonte à 1954, et on le doit à Attneave. Des arguments neurologiques expliquent que le cerveau humain ne pourrait pas possiblement utiliser toutes les informations fournies par des états de simulation. Mais en réalité on enregistre des régions où la couleur change brusquement (des contours) et en outre les angles et les extremas de courbure. Pourtant, un calcul direct de courbures sur une image est impossible. Nous montrons comment les courbures peuvent être précisément évaluées, à résolution sous-pixelique par un calcul sur les lignes de niveau après leur lissage indépendant.Pour cela, nous construisons un algorithme que nous appelons Level Lines (Affine) Shortening, simulant une évolution sous-pixelique d'une image par mouvement de courbure moyenne ou affine. Aussi bien dans le cadre analytique que numérique, LLS (respectivement LLAS) extrait toutes les lignes de niveau d'une image, lisse indépendamment et simultanément toutes ces lignes de niveau par Curve Shortening(CS) (respectivement Affine Shortening (AS)) et reconstruit une nouvelle image. Nousmontrons que LL(A)S calcule explicitement une solution de viscosité pour le le Mouvement de Courbure Moyenne (respectivement Mouvement par Courbure Affine), ce qui donne une équivalence avec le mouvement géométrique.Basé sur le raccourcissement de lignes de niveau simultané, nous fournissons un outil de visualisation précis des courbures d'une image, que nous appelons un Microscope de Courbure d'Image. En tant que application, nous donnons quelques exemples explicatifs de visualisation et restauration d'image : du bruit, des artefacts JPEG, de l'aliasing seront atténués par un mouvement de courbure sous-pixelique
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Rodrigues, Rodrigo da Silva. "Sistemas elípticos com pesos envolvendo o expoente crítico de Hardy-Sobolev." Universidade Federal de São Carlos, 2007. https://repositorio.ufscar.br/handle/ufscar/5806.

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Made available in DSpace on 2016-06-02T20:27:36Z (GMT). No. of bitstreams: 1 1610.pdf: 953018 bytes, checksum: 71de779ec49ee3cef03c3060c45a97f3 (MD5) Previous issue date: 2007-11-20
Financiadora de Estudos e Projetos
In this work, we will study the existence and nonexistence of positive weak solutions for two classes of elliptic systems with weights. The first class will involve nonlinearities of the type positone and semipositone. We will prove a strong maximum principle, and we will obtain some properties of the first eigenfunction of the eigenvalue problem associated to our operator, and also we will prove the sub and supersolution method. The second class will involve a nonlinear perturbation. We will use the variational methods to study the subcritical and critical situations, and under certain hypotheses, we will show the existence of a second weak solution.
Neste trabalho, estudaremos a existência e inexistência de solução fraca positiva para duas classes de sistemas elípticos com pesos. A primeira classe envolverá não linearidades do tipo positônico e semipositônico. Provaremos um princípio de máximo forte, e obteremos algumas propriedades da primeira autofunção do problema de autovalor associado ao nosso operador, e também provaremos o método de sub e supersolução. A segunda classe que consideraremos terá uma perturbação não linear. Usaremos os métodos variacionais para estudar tanto a situação subcrítica quanto à situação crítica, e sob certas hipóteses, mostraremos a existência de uma segunda solução fraca.
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Books on the topic "Strong maximum principles"

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Levin, Frank S. Introduction. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198808275.003.0001.

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By surveying aspects of the book, the Introduction invites readers to prepare their mental surfboards for surfing the challenging waves of the quantum world. Max Planck’s weird use of the quantum concept is identified as the origin of the quantum revolution of the first part of the twentieth century. It is pointed out that mental muscles will be stretched by a variety of mind-bending quantum concepts and phenomena, both microscopic and macroscopic. These include the analogy between the behavior of a particle in a so-called quantum box and the vibrations of a musical string, and the role of quantum mechanics in determining the maximum heights of mountains. It is noted that the fundamental principles of quantum theory are the underpinning for explaining the mystery with two-slit experiments, while the book’s final chapters explore two features that have been referred to in non-scientific contexts: entanglement and Schrödinger’s cat.
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Levin, Frank S. Surfing the Quantum World. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198808275.001.0001.

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Surfing the Quantum World bridges the gap between in-depth textbooks and typical popular science books on quantum ideas and phenomena. Among its significant features is the description of a host of mind-bending phenomena, such as a quantum object being in two places at once or a certain minus sign being the most consequential in the universe. Much of its first part is historical, starting with the ancient Greeks and their concepts of light, and ending with the creation of quantum mechanics. The second part begins by applying quantum mechanics and its probability nature to a pedagogical system, the one-dimensional box, an analog of which is a musical-instrument string. This is followed by a gentle introduction to the fundamental principles of quantum theory, whose core concepts and symbolic representations are the foundation for most of the subsequent chapters. For instance, it is shown how quantum theory explains the properties of the hydrogen atom and, via quantum spin and Pauli’s Exclusion Principle, how it accounts for the structure of the periodic table. White dwarf and neutron stars are seen to be gigantic quantum objects, while the maximum height of mountains is shown to have a quantum basis. Among the many other topics considered are a variety of interference phenomena, those that display the wave properties of particles like electrons and photons, and even of large molecules. The book concludes with a wide-ranging discussion of interpretational and philosophic issues, introduced in Chapters 14 by entanglement and 15 by Schrödinger’s cat.
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Thurner, Stefan, Rudolf Hanel, and Peter Klimekl. Statistical Mechanics and Information Theory for Complex Systems. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198821939.003.0006.

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Most complex systems are statistical systems. Statsitical mechanics and information theory usually do not apply to complex systems because the latter break the assumptions of ergodicity, independence, and multinomial statistics. We show that it is possible to generalize the frameworks of statistical mechanics and information theory in a meaningful way, such that they become useful for understanding the statistics of complex systems.We clarify that the notion of entropy for complex systems is strongly dependent on the context where it is used, and differs if it is used as an extensive quantity, a measure of information, or as a tool for statistical inference. We show this explicitly for simple path-dependent complex processes such as Polya urn processes, and sample space reducing processes.We also show it is possible to generalize the maximum entropy principle to path-dependent processes and how this can be used to compute timedependent distribution functions of history dependent processes.
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Book chapters on the topic "Strong maximum principles"

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Chow, Bennett, Sun-Chin Chu, David Glickenstein, Christine Guenther, James Isenberg, Tom Ivey, Dan Knopf, Peng Lu, Feng Luo, and Lei Ni. "Weak and strong maximum principles on noncompact manifolds." In Mathematical Surveys and Monographs, 139–95. Providence, Rhode Island: American Mathematical Society, 2007. http://dx.doi.org/10.1090/surv/144/03.

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Mincsovics, Miklós E., and Tamás L. Horváth. "On the Differences of the Discrete Weak and Strong Maximum Principles for Elliptic Operators." In Large-Scale Scientific Computing, 614–21. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29843-1_70.

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Bianchini, Bruno, Luciano Mari, Patrizia Pucci, and Marco Rigoli. "Strong Maximum Principle and Khas’minskii Potentials." In Geometric Analysis of Quasilinear Inequalities on Complete Manifolds, 165–80. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-62704-1_8.

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Dal Palù, Alessandro, Mathias Möhl, and Sebastian Will. "A Propagator for Maximum Weight String Alignment with Arbitrary Pairwise Dependencies." In Principles and Practice of Constraint Programming – CP 2010, 167–75. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15396-9_16.

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"The strong maximum principle." In Linear Second Order Elliptic Operators, 187–224. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814440257_0007.

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"The Strong Maximum Principle." In Elliptic Equations: An Introductory Course, 247–59. Basel: Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-7643-9982-5_18.

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Sussmann, H. J. "A Strong Version of the Lojasiewicz Maximum Principle." In Optimal control of differential equations, 293–309. CRC Press, 2020. http://dx.doi.org/10.1201/9781003072225-19.

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Bardi, Martino, and Francesca Da Lio. "Propagation of Maxima and Strong Maximum Principle for Viscosity Solutions of Degenerate Elliptic Equations." In Equadiff 99, 589–91. World Scientific Publishing Company, 2000. http://dx.doi.org/10.1142/9789812792617_0119.

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"Effects of Urbanization on Stream Ecosystems." In Effects of Urbanization on Stream Ecosystems, edited by Larry R. Brown, Carmen A. Burton, and Kenneth Belitz. American Fisheries Society, 2005. http://dx.doi.org/10.47886/9781888569735.ch16.

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<em>Abstract.</em>—We assessed the structure of periphyton, benthic macroinvertebrate, and fish assemblages and their associations with environmental variables at 17 sites on streams of the highly urbanized Santa Ana River basin in Southern California. All assemblages exhibited strong differences between highly urbanized sites in the valley and the least-impacted sites at the transition between the valley and undeveloped mountains. Results within the urbanized area differed among taxa. Periphyton assemblages were dominated by diatoms (>75% of total taxa). Periphyton assemblages within the urbanized area were not associated with any of the measured environmental variables, suggesting that structure of urban periphyton assemblages might be highly dependent on colonization dynamics. The number of Ephemeroptera, Trichoptera, and Plecoptera (EPT) taxa included in macroinvertebrate assemblages ranged from 0 to 6 at urbanized sites. Benthic macroinvertebrate assemblages had significant correlations with several environmental variables within the urban area, suggesting that stream size and permanence were important determinants of distribution among the species able to survive conditions in urban streams. Only 4 of 16 fish species collected were native to the drainage. Fish assemblages of urbanized sites included two native species, arroyo chub <em>Gila orcuttii </em>and Santa Ana sucker <em>Catostomus santaanae, </em>at sites that were intermediate in coefficient of variation of bank-full width, depth, bed substrate, and water temperature. Alien species dominated urbanized sites with lesser or greater values for these variables. These results suggest that urban streams can be structured to enhance populations of native fishes. Continued study of urban streams in the Santa Ana River basin and elsewhere will contribute to the basic understanding of ecological principles and help preserve the maximum ecological value of streams in highly urbanized areas.
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McAdams, Dan P. "Deal." In The Strange Case of Donald J. Trump, 25–50. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780197507445.003.0003.

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The second chapter, “Deal,” examines Donald Trump’s unique manner of making deals, focusing ultimately on his efforts to broker a nuclear deal with North Korea’s Kim Jong-un in the summer of 2018. For Trump, deal-making is always about wielding power in the ever-present moment, operating as the quintessential episodic man who pays no heed to long-term consequences. The chapter delineates five principles of Trumpian deal-making: (i) fill a need, (ii) bend the rules, (iii) put on a show, (iv) exert maximum pressure, and (v) always win. The chapter traces the origins of the first three principles back to the deal-making displayed by Trump’s grandfather, Friedrich Trump, when he immigrated to the United States, and by his father, Fred Trump, as a builder and real estate mogul in Queens during the middle years of the 20th century. The latter two principles derive from Trump’s book, The Art of the Deal, as well as his life.
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Conference papers on the topic "Strong maximum principles"

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Arzhaev, Alexey, Sergey Sivakov, Kirill Arzhaev, Sergey Butorin, and Valentin Makhanev. "Application of Structural Integrity Concepts to NPP Piping and Equipment During Design, Commissioning and Operation." In ASME 2014 12th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/esda2014-20436.

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Application of Structural Integrity Concepts to RF NPP piping and equipment have started in Russia in the beginning of 1990s from requirements to Leak Before Break (LBB) calculation studies adopted by regulatory body. Results of first practical LBB Concept application to RF NPP piping have been reported at Lyon LBB Conference in year 1995. Experience of LBB Concept practical application in Russia during 1990s formed strong basis for issuing comprehensive guideline RD 95 10547-99 which stated LBB Concept basic principles and requirements applicable to RF NPPs with Light Water Reactors (LWR) at all stages of Life Cycle: design, commissioning and operation. Requirements of RD 95 10547-99 guideline have been in good correspondence to classic LBB principles used in many European countries, USA, Japan and to IAEA Technical Documents as well. RF NPP piping operation experience analysis have revealed necessity of producing more general methodology — Break Preclusion (BP) Concept — to substantiate structural integrity of piping potentially susceptible to active degradation mechanisms like Flow Accelerated Corrosion (FAC), Intergranular Stress Corrosion Cracking (IGSCC), etc. BP and LBB Concepts are based on the same major principles: (a) quality of design, manufacturing, assembling, (b) monitoring of degradation and operating conditions, (c) enveloping loading conditions with respect to maximum design loads, (d) calculation and experimental substantiation of failure according to LBB scenario. LBB Concept requires full implementation of principles (a)÷(d) and BP Concept allows to achieve balance in implementation of principles (a) and (b) while principles (c) and (d) should be fully implemented. Memorandum of 8th International Scientific and Technical Conference “Safety of VVER NPPs” in year 2013 stated as a 1st priority goal to substantiate structural integrity of main components for Long-Term Operation (LTO) during 60–80 years. Actual regulatory demands to operating NPPs also produce strong demand to provide structural integrity arguments for safety important piping and equipment as a part of periodic safety justification of NPP Unit needed for license extension. Peculiarities of structural integrity concepts application to safety important piping and equipment at different stages of NPP Unit Life Cycle (design. commissioning and operation) are discussed in paper with emphasis on technical measures providing conditions for effective degradation monitoring and prevention during LTO. Perspectives of regulatory documents improvement are also discussed.
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2

Boyadzhiev, Georgi, and Nikolay Kutev. "Strong maximum principle for nonlinear cooperative elliptic systems." In RENEWABLE ENERGY SOURCES AND TECHNOLOGIES. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5127470.

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Yuansheng, Lin, Wu Jun, Ma Can, Dai Chunhui, Zhao Zhenxing, and Tao Mo. "Design and Analysis of Key Instruments of Supercritical Carbon Dioxide Brayton Cycle in Future Nuclear Power Field." In 2017 25th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/icone25-67155.

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The Brayton cycle with supercritical carbon (S-CO2) as working medium is one of the most promising new nuclear power systems. As the key device during the expansion and compression process in the Brayton power cycle, the turbine and compressor design and performance analysis is difficult for the strong nonlinear properties during the near critical region of S-CO2 medium. The design and analysis of the S-CO2 turbine and compressor is the key point for increasing the power device performance and operation security. As a result, this paper proposes a detail design and analysis method for turbine and compressor in the S-CO2 Brayton power cycle. The MW grade power cycle is used as the research project. The inlet and outlet parameters of the turbine and compressor are determined according to the power cycle scheme. Engineering thermodynamic principles combined with two-zone loss model are chosen to carry out the one-dimensional flow path design for the turbine and compressor respectively. Then the quasi-three dimension design of the flow path is accomplished by stream curvature method. The three dimensional geometry structure of the impeller is designed in detail. On this basis, numerical simulation models of the turbine and compressor are established to analysis the flow field and structural strength vibration in detail. Moreover, the simulation results show that the isentropic efficiency of the compressor impeller is 96.9%. The maximum total displacements of the compressor and turbine impeller are 0.12 mm and 0.106 mm respectively. The maximum von Mises equivalent stresses of the compressor and turbine impeller are 372 MPa and 320 MPa respectively. The impeller can meet the strength safty requiments for the maximum stress values are much less than the yield stress of the material.
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Kurnia, R. "Simulations of Extreme Wave Runup on a Vertical Wall by Analytic Boussinesq Model." In ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/omae2016-54365.

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Wave runup on a vertical wall has both fundamental and practical interest. The wave impact on a structure is an important aspect that must be taken into account in the design of coastal structures. From linear wave theory, it is known that the wave amplitude on a vertical fully reflecting wall is twice the amplitude of the incoming wave. The result may be different for nonlinear dispersive waves. Following [1], we show that the propagation of a short wave group of very long nonlinear monochromatic waves above a flat bottom, can increase the amplitude nonlinearly in the travel to a wall, and produce much higher amplitudes on the wall compared to the initial amplitude: the amplification of such a wave can reach six times the initial amplitude. The strong amplification due to the combined action of nonlinear steepening and dispersion before the wall leads to waves that resemble undular bores. Using the same principles, we show that the propagation of a focusing wave group to a wall that is located at the focusing point of the wave can produce an extreme runup with 11 times amplification of the maximum initial amplitude. The simulations are done by HAWASSI-AB, a spatial-spectral implementation of Analytic Boussinesq model [2].
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Mei, Jincheng, Chenjun Xiao, Ruitong Huang, Dale Schuurmans, and Martin Müller. "On Principled Entropy Exploration in Policy Optimization." In Twenty-Eighth International Joint Conference on Artificial Intelligence {IJCAI-19}. California: International Joint Conferences on Artificial Intelligence Organization, 2019. http://dx.doi.org/10.24963/ijcai.2019/434.

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In this paper, we investigate Exploratory Conservative Policy Optimization (ECPO), a policy optimization strategy that improves exploration behavior while assuring monotonic progress in a principled objective. ECPO conducts maximum entropy exploration within a mirror descent framework, but updates policies using reversed KL projection. This formulation bypasses undesirable mode seeking behavior and avoids premature convergence to sub-optimal policies, while still supporting strong theoretical properties such as guaranteed policy improvement. Experimental evaluations demonstrate that the proposed method significantly improves practical exploration and surpasses the empirical performance of state-of-the art policy optimization methods in a set of benchmark tasks.
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Konieczny, Sébastien, Pierre Marquis, and Srdjan Vesic. "Rational Inference Relations from Maximal Consistent Subsets Selection." In Twenty-Eighth International Joint Conference on Artificial Intelligence {IJCAI-19}. California: International Joint Conferences on Artificial Intelligence Organization, 2019. http://dx.doi.org/10.24963/ijcai.2019/242.

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When one wants to draw non-trivial inferences from an inconsistent belief base, a very natural approach is to take advantage of the maximal consistent subsets of the base. But few inference relations from maximal consistent subsets exist. In this paper we point out new such relations based on selection of some of the maximal consistent subsets, leading thus to inference relations with a stronger inferential power. The selection process must obey some principles to ensure that it leads to an inference relation which is rational. We define a general class of monotonic selection relations for comparing maximal consistent sets. And we show that it corresponds to the class of rational inference relations.
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Ren, Weiju, Govindarajan Muralidharan, Dane F. Wilson, and David E. Holcomb. "Considerations of Alloy N for Fluoride Salt-Cooled High-Temperature Reactor Applications." In ASME 2011 Pressure Vessels and Piping Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/pvp2011-57029.

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Fluoride Salt-Cooled High-Temperature Reactors (FHRs) are a promising new class of thermal-spectrum nuclear reactors. The reactor structural materials must possess high-temperature strength and chemical compatibility with the liquid fluoride salt as well as with a power cycle fluid such as supercritical water while remaining resistant to residual air within the containment. Alloy N was developed for use with liquid fluoride salts and it possesses adequate strength and chemical compatibility up to about 700°C. A distinctive property of FHRs is that their maximum allowable coolant temperature is restricted by their structural alloy maximum service temperature. As the reactor thermal efficiency directly increases with the maximum coolant temperature, higher temperature resistant alloys are strongly desired. This paper reviews the current status of Alloy N and its relevance to FHRs including its design principles, development history, high temperature strength, environmental resistance, metallurgical stability, component manufacturability, ASME codification status, and reactor service requirements. The review will identify issues and provide guidance for improving the alloy properties or implementing engineering solutions.
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Beirow, Bernd, Arnold Ku¨hhorn, and Jens Nipkau. "On the Influence of Strain Gauge Instrumentation on Blade Vibrations of Integral Blisk Compressor Rotors Applying a Discrete Model." In ASME Turbo Expo 2009: Power for Land, Sea, and Air. ASMEDC, 2009. http://dx.doi.org/10.1115/gt2009-59207.

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The effect of blade frequency mistuning on the forced response of HPC-blisks is studied by means of experimental and numerical investigations applying discrete mechanical low degree of freedom models. Besides the mistuning resulting from manufacturing and inhomogeneous material also strain gauge (S/G) induced mistuning is considered. Blade by blade measurements supported by numerical calculations are used to determine mistuning distributions within an iterative approach. Due to the stiffness contribution of high temperature S/G, a significant increase of blade alone frequencies can be proved. It is shown within laser scanning measurements that this S/G induced mistuning can cause strongly localized mode shapes. Since S/G signals are used to monitor also non-instrumented blade resonances in engine-tests, it is reasonable to consider the S/G contribution within model-updates. The numerical models introduced in this paper are adjusted to experimentally determined blade alone frequency distributions. Within simulations of the forced response it is shown in principle, that the S/G-instrumentation also affects the response of non-instrumented blades which is important with regard to the S/G calibration process. Additional investigations are addressed to the consequences of small variations in measured mistuning distributions on the maximum forced response, i. e. resulting from a changing ambient temperature while measurement or a limited frequency resolution. In this context, a strong dependence on the engine order excited, the damping level and thus the flow conditions could be proved. As an example all investigations presented in this paper are carried out for two stages of a research compressor.
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Prasad Rao, Jubilee, and F. Javier Diez. "Experimental Analysis of a Cyclic Pitch Turbine." In ASME 2017 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/fedsm2017-69346.

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Cyclic pitch turbine is a drag based vertical axis fluid turbine which aims to optimize the drag forces that act on its blades. During operation, the turbine blades remain perpendicular to the flow in the drive stroke for maximum positive drag force and remain parallel to the flow in the recovery stroke for minimal negative drag. The blades pitch by 90 degrees between the two strokes using a dual cam mechanism. The blade pitching principle is inspired by bird’s wing motion and oar blade motion in rowing. Multiple turbine prototypes have been built and have been tested in air and water for functionality as well as for quantifying the performance. Water tunnel tests are conducted to measure power output at different turbine loads and flow velocities. Experimental setup included turbine speed, position senor and also a torque sensor. Experiments were aimed at understanding the performance of the turbine at different conditions and also finding the best blade configuration for maximum efficiency. The results show the cyclic variation of speed, torque and power output and coefficient of performance (CP) at different tip speed ratios (TSR). They show that the coefficient of performance is maximum which is 0.17 at around 0.55 tip speed ratio which is typical of drag based turbines and the value reduces with both increase and decrease in the value of TSR similar to conventional turbines.
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Kadic, Enes, and Theodore J. Heindel. "Hydrodynamic Considerations in Bioreactor Selection and Design." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-30367.

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The biological production of renewable fuels and chemicals, medicines, and proteins is not possible without a properly functioning bioreactor. Bioreactors are expected to meet several basic requirements and create conditions favorable to the biological material such that the desired production is maximized. The basic requirements, which are strongly influenced by fluid mechanic principles, may include minimum damage to the biological material, maximum reactor volume utilization, optimized gas-liquid mass transfer, and/or enhanced mass transfer from the liquid to the biological species. Each of these goals may be achieved within any of the major bioreactor designs, which generally fall under the categories of stirred tank, bubble column, or airlift bioreactor. Yet, each of the bioreactor designs has strengths and weaknesses. This paper provides an overview of bioreactor hydrodynamic developments and the fluid mechanic issues that should to be considered when selecting a bioreactor for experimental and production purposes.
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Reports on the topic "Strong maximum principles"

1

Boyadzhiev, Georgi, and Nikolay Kutev. Strong Interior and Boundary Maximum Principle for Weakly Coupled Linear Cooperative Elliptic Systems. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, July 2019. http://dx.doi.org/10.7546/crabs.2019.07.02.

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