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Relevant bibliographies by topics / Mathematical physics Problems

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Academic literature on the topic 'Mathematical physics Problems'

Author: Grafiati

Published: 4 June 2021

Last updated: 10 February 2022

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Journal articles on the topic "Mathematical physics Problems"

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Coley, Alan A. "Open problems in mathematical physics." Physica Scripta 92, no. 9 (2017): 093003. http://dx.doi.org/10.1088/1402-4896/aa83c1.

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Okino, Takahisa. "Mathematical Physics in Diffusion Problems." Journal of Modern Physics 06, no. 14 (2015): 2109–44. http://dx.doi.org/10.4236/jmp.2015.614217.

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Golubeva, V. A. "Inverse monodromy problems in mathematical physics." Journal of Mathematical Sciences 144, no. 1 (2007): 3775–81. http://dx.doi.org/10.1007/s10958-007-0230-2.

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Friedlander, F. G. "INITIAL BOUNDARY VALUE PROBLEMS IN MATHEMATICAL PHYSICS." Bulletin of the London Mathematical Society 19, no. 2 (1987): 205. http://dx.doi.org/10.1112/blms/19.2.205.

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Lieberman, Gary M. "Book Review: Obstacle problems in mathematical physics." Bulletin of the American Mathematical Society 21, no. 2 (1989): 319–23. http://dx.doi.org/10.1090/s0273-0979-1989-15845-x.

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Lomov, I. S. "Nonsmooth eigenfunctions in problems of mathematical physics." Differential Equations 47, no. 3 (2011): 355–62. http://dx.doi.org/10.1134/s0012266111030062.

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Moya-Cessa, Héctor Manuel. "Theoretical and mathematical physics: problems and solutions." Contemporary Physics 60, no. 1 (2019): 102. http://dx.doi.org/10.1080/00107514.2019.1608312.

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Griffel, D. H. "Initial Boundary Value Problems in Mathematical Physics." Physics Bulletin 37, no. 10 (1986): 427. http://dx.doi.org/10.1088/0031-9112/37/10/027.

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Al-Khatib, M. J., and R. Leśniewska. "Solving functions in the mathematical physics problems." PAMM 2, no. 1 (2003): 356–57. http://dx.doi.org/10.1002/pamm.200310162.

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Al Khatib, M. J., and K. Grysa. "Solving functions in problems of mathematical physics." PAMM 3, no. 1 (2003): 374–75. http://dx.doi.org/10.1002/pamm.200310459.

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Dissertations / Theses on the topic "Mathematical physics Problems"

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Jaksic, Vojkan Simon Barry Simon Barry. "Solutions to some problems in mathematical physics /." Diss., Pasadena, Calif. : California Institute of Technology, 1992. http://resolver.caltech.edu/CaltechETD:etd-09122005-162352.

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Woo, Jung Min. "Two mathematical problems in disordered systems." Diss., The University of Arizona, 2000. http://hdl.handle.net/10150/289124.

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Two mathematical problems in disordered systems are studied: geodesics in first-passage percolation and conductivity of random resistor networks. In first-passage percolation, we consider a translation-invariant ergodic family {t(b): b bond of Z²} of nonnegative random variables, where t(b) represent bond passage times. Geodesics are paths in Z², infinite in both directions, each of whose finite segments is time-minimizing. We prove part of the conjecture that geodesics do not exist in any fixed half-plane and that they have to intersect all straight lines with rational slopes. In random resistor networks, we consider an independent and identically distributed family {C(b): b bond of a hierarchical lattice H} of nonnegative random variables, where C(b) represent bond conductivities. A hierarchical lattice H is a sequence {H(n): n = 0, 1, 2} of lattices generated in an iterative manner. We prove a central limit theorem for a sequence x(n) of effective conductivities, each of which is defined on lattices H(n), when a system is in a percolating regime. At a critical point, it is expected to have non-Gaussian behavior.

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Olofsson, Rikard. "Problems in Number Theory related to Mathematical Physics." Doctoral thesis, Stockholm : Engineering sciences, Kungliga Tekniska högskolan, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-9514.

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Kozlowska, Katarzyna. "Riemann-Hilbert problems and their applications in mathematical physics." Thesis, University of Reading, 2017. http://centaur.reading.ac.uk/73488/.

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The aim of this thesis is to present the reader with the very effective and rigorous Riemann-Hilbert approach of solving asymptotic problems. We consider a transition problem for a Toeplitz determinant; its symbol depends on an additional parameter t. When t > 0, the symbol has one Fisher-Hartwig singularity at an arbitrary point z1 6= 1 on the unit circle (with associated α1, β1 ∈ C strengths) and as t → 0, a new Fisher-Hartwig singularity emerges at the point z0 = 1 (with α0, β0 ∈ C strengths). The asymptotics we present for the determinant are uniform for sufficiently small t. The location of the β-parameters leads to the consideration of two cases, both of which are addressed in this thesis. In the first case, when | Re β0 − Re β1| < 1 we see a transition between two asymptotic regimes, both given by the same result by Ehrhardt, but with different parameters, thus producing different asymptotics. In the second case, when | Re β0 − Re β1| = 1 the symbol has Fisher-Hartwig representations at t = 0, and the asymptotics are given the Tracy-Basor conjecture. These double scaling limits are used to explain transition in the theory of XY spin chains between different regions in the phase diagram across critical lines.

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Tzou, Leo. "Linear and nonlinear analysis and applications to mathematical physics /." Thesis, Connect to this title online; UW restricted, 2007. http://hdl.handle.net/1773/5761.

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Lundberg, Erik. "Problems in Classical Potential Theory with Applications to Mathematical Physics." Scholar Commons, 2011. http://scholarcommons.usf.edu/etd/3220.

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In this thesis we are interested in some problems regarding harmonic functions. The topics are divided into three chapters. Chapter 2 concerns singularities developed by solutions of the Cauchy problem for a holomorphic elliptic equation, especially Laplace's equation. The principal motivation is to locate the singularities of the Schwarz potential. The results have direct applications to Laplacian growth (or the Hele-Shaw problem). Chapter 3 concerns the Dirichlet problem when the boundary is an algebraic set and the data is a polynomial or a real-analytic function. We pursue some questions related to the Khavinson-Shapiro conjecture. A main topic of interest is analytic continuability of the solution outside its natural domain. Chapter 4 concerns certain complex-valued harmonic functions and their zeros. The special cases we consider apply directly in astrophysics to the study of multiple-image gravitational lenses.

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Rodrigues, Sérgio da Silva. "Methods of nonlinear control theory in problems of mathematical physics." Doctoral thesis, Universidade de Aveiro, 2008. http://hdl.handle.net/10773/2931.

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Doutoramento em Matemática<br>Consideramos a equação de Navier-Stokes num domínio bidimensional e estudamos a sua controlabilidade aproximada e a sua controlabilidade nas projecções em subespaços de campos vectoriais de dimensão finita. Consideramos controlos internos que tomam valores num espaço de dimensão finita. Mais concretamente, procuramos um subespaço de campos vectoriais de divergência nula de dimensão finita de tal modo que seja possível controlar aproximadamente a equação, através de controlos que tomam valores no mesmo subespaço. Usando algumas propriedades de continuidade da equação nos dados iniciais, nomeadamente a continuidade da solução quando o controlo varia na chamada métrica relaxada, reduzimos os resultados em controlabilidade à existência de um chamado conjunto saturante. Consideramos ambas as condições de fronteira do tipo Navier e Dirichlet homogéneas. Damos alguns exemplos de domínios e respectivos conjuntos saturantes. No caso especial das condições de fronteira do tipo Lions - um caso particular das condições do tipo Navier - através de uma técnica envolvendo perturbação analítica de métricas, transferimos a chamada controlabilidade nas projecções em espaços coordenados de dimensão finita de uma métrica para (muitas) outras.<br>We consider the Navier-Stokes equation on a two-dimensional domain and study its approximate controllability and its controllability on projections onto finite-dimensional subspaces of vector fields. We consider body controls taking values in a finite-dimensional space. More precisely we look for a finitedimensional subspace of divergence free vector fields that allow us to control approximately the equation using controls taking values in that subspace. Using some continuity properties of the equation on the initial data, namely the continuity of the solution when the control varies in so-called relaxation metric, we reduce the controllability issues to the existence of a so-called saturating set. Both Navier and no-slip boundary conditions are considered. We present some examples of domains and respective saturating sets. For the special case of Lions boundary conditions - a particular case of Navier boundary conditions - trough a technique involving analytic perturbation of metrics, we transfer so-called controllability on observed coordinate space from one metric to (many) other.

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Del, Punta Jessica A. "Mathematical methods in atomic physics." Thesis, Université de Lorraine, 2017. http://www.theses.fr/2017LORR0035/document.

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Les problèmes de diffusion de particules, à deux et à trois corps, ont une importance cruciale en physique atomique, car ils servent à décrire différents processus de collisions. Actuellement, le cas de deux corps peut être résolu avec une précision numérique désirée. Les problèmes de diffusion à trois particules chargées sont connus pour être bien plus difficiles mais une déclaration similaire peut être affirmée. L’objectif de ce travail est de contribuer, d’un point de vue analytique, à la compréhension des processus de diffusion Coulombiens à trois corps. Ceci a non seulement un intérêt fondamental, mais est également utile pour mieux maîtriser les approches numériques en cours d’élaboration au sein de la communauté de collisions atomiques. Pour atteindre cet objectif, nous proposons d’approcher la solution du problème avec des développements en séries sur des ensembles de fonctions appropriées et possédant une expression analytique. Nous avons ainsi développé un nombre d’outils mathématiques faisant intervenir des fonctions Coulombiennes, des équations différentielles de second ordre homogènes et non-homogènes, et des fonctions hypergéométriques à une et à deux variables<br>Two and three-body scattering problems are of crucial relevance in atomic physics as they allow to describe different atomic collision processes. Nowadays, the two-body cases can be solved with any degree of numerical accuracy. Scattering problem involving three charged particles are notoriously difficult but something similar -- though to a lesser extent -- can be stated. The aim of this work is to contribute to the understanding of three-body Coulomb scattering problems from an analytical point of view. This is not only of fundamental interest, it is also useful to better master numerical approaches that are being developed within the collision community. To achieve this aim we propose to approximate scattering solutions with expansions on sets of appropriate functions having closed form. In so doing, we develop a number of related mathematical tools involving Coulomb functions, homogeneous and non-homogeneous second order differential equations, and hypergeometric functions in one and two variables

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Kidd, Julie Elizabeth. "Mathematical problems in liquid crystal theory and elastic plate theory." Thesis, University of Strathclyde, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.248570.

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Chemama, Michael Leopold. "Flames, Splashes and Microdroplets: A Mathematical Approach to Three Fluid Dynamics Problems." Thesis, Harvard University, 2015. http://nrs.harvard.edu/urn-3:HUL.InstRepos:14226101.

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Three different problems in fluid mechanics are presented in this thesis. The first one deals with the mechanism behind the extinction of a flame by an alternating electric field. A simple model for the interaction between the field and the ions produced by the reaction is presented, which agrees quantitatively with the experiments. It also indicates that charges diffusion is responsible for the non-zero time averaged force on the flame. The second problem focuses on the role of viscosity during the splash of liquid droplets. We show that contrary to what was done in previous theoretical studies, the role of viscosity cannot be investigated within the framework of a boundary layer approximation. Rather, the full viscous term must be included in the equations. Finally, we present the theory behind a new microfluidic device (called centipede) which produces microdroplets at a very high rate without relying on any active element to precipitate the detachment of the drops. We clearly show that the drops detach through a Rayleigh-Plateau instability in an otherwise quasi-static flow. We also predict how the throughput and size of the drops are affected by the geometrical parameters of the device.

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Books on the topic "Mathematical physics Problems"

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Salvador, Godoy, ed. Mathematical physics. Wiley-VCH, 2010.

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Obstacle problems in mathematical physics. North-Holland, 1987.

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Päivärinta, Lassi, and Erkki Somersalo, eds. Inverse Problems in Mathematical Physics. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/3-540-57195-7.

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Allegretto, Walter, Christian Ringhofer, G. Mascali, and V. Romano. Mathematical Problems in Semiconductor Physics. Edited by Angelo Marcello Anile. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/b13405.

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Bonetto, Federico, David Borthwick, Evans Harrell, and Michael Loss, eds. Mathematical Problems in Quantum Physics. American Mathematical Society, 2018. http://dx.doi.org/10.1090/conm/717.

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Steeb, W. H. Problems in theoretical physics. B.I.-Wissenschaftsverlag, 1990.

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Stakgold, Ivar. Boundary value problems of mathematical physics. Society for Industrial and Applied Mathematics, 2000.

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Problems & solutions in theoretical & mathematical physics. 2nd ed. World Scientific, 2003.

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Jentsch, Lothar, and Fredi Tröltzsch, eds. Problems and Methods in Mathematical Physics. Vieweg+Teubner Verlag, 1994. http://dx.doi.org/10.1007/978-3-322-85161-1.

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Elschner, Johannes, I. Gohberg, and Bernd Silbermann, eds. Problems and Methods in Mathematical Physics. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8276-7.

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Book chapters on the topic "Mathematical physics Problems"

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Kamal, Ahmad A. "Mathematical Physics." In 1000 Solved Problems in Modern Physics. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-04333-8_1.

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Pikulin, Victor P., and Stanislav I. Pohozaev. "Elliptic problems." In Equations in Mathematical Physics. Springer Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-0268-0_2.

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Pikulin, Victor P., and Stanislav I. Pohozaev. "Hyperbolic problems." In Equations in Mathematical Physics. Springer Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-0268-0_3.

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Pikulin, Victor P., and Stanislav I. Pohozaev. "Parabolic problems." In Equations in Mathematical Physics. Springer Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-0268-0_4.

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Pikulin, Victor P., and Stanislav I. Pohozaev. "Elliptic problems." In Equations in Mathematical Physics. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8285-9_2.

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Pikulin, Victor P., and Stanislav I. Pohozaev. "Hyperbolic problems." In Equations in Mathematical Physics. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8285-9_3.

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Pikulin, Victor P., and Stanislav I. Pohozaev. "Parabolic problems." In Equations in Mathematical Physics. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8285-9_4.

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Arnold, V. I. "Mathematical Problems in Classical Physics." In Trends and Perspectives in Applied Mathematics. Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-0859-4_1.

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Akulin, Vladimir M. "Bibliography and Problems." In Theoretical and Mathematical Physics. Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-7205-2_13.

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Blanchard, Philippe, and Erwin Brüning. "Boundary and Eigenvalue Problems." In Mathematical Methods in Physics. Birkhäuser Boston, 2003. http://dx.doi.org/10.1007/978-1-4612-0049-9_32.

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Conference papers on the topic "Mathematical physics Problems"

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Govaerts, Jan, M. Norbert Hounkonnou, and William A. Lester. "Contemporary Problems in Mathematical Physics." In Proceedings of the First International Workshop. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792921.

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Azroul, E., and M. Rhoudaf. "An obstacle problem via a sequence of penalized problems." In Proceedings of the Conference in Mathematics and Mathematical Physics. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814295574_0009.

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SHIRIKYAN, ARMEN. "Some mathematical problems of statistical hydrodynamics." In XIVth International Congress on Mathematical Physics. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812704016_0028.

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Ibrahim, Bashirah, Lin Ding, Daniel R. White, Ryan Badeau, and Andrew F. Heckler. "Synthesis problems: role of mathematical complexity in students' problem solving strategies." In 2016 Physics Education Research Conference. American Association of Physics Teachers, 2016. http://dx.doi.org/10.1119/perc.2016.pr.037.

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Lobanov, Yu Yu, and E. P. Zhidkov. "Programming and Mathematical Techniques in Physics." In International Conference on Programming and Mathematical Methods for Solving Physical Problems. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/9789814534598.

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Aharouch, L., E. Azroul, and M. Rhoudaf. "Existence of solutions for variational degenerated unilateral problems." In Proceedings of the Conference in Mathematics and Mathematical Physics. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814295574_0013.

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Shcherbakova, E. E., and S. Yu Knyazev. "Two methods for numerical solving mathematical physics problems." In SECOND INTERNATIONAL CONFERENCE ON MATERIAL SCIENCE, SMART STRUCTURES AND APPLICATIONS: ICMSS-2019. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5138462.

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Akdim, Y., J. Bennouna, M. Mekkour, and M. Rhoudaf. "Renormalized solutions of nonlinear degenerated parabolic problems: Existence and uniqueness." In Proceedings of the Conference in Mathematics and Mathematical Physics. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814295574_0020.

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Benkirane, A., J. Bennouna, and M. Rhoudaf. "Some remarks on a sign condition for perturbations of nonlinear problems." In Proceedings of the Conference in Mathematics and Mathematical Physics. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814295574_0003.

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Youssfi, Ahmed. "Existence and L∞-regularity results for some nonlinear elliptic Dirichlet problems." In Proceedings of the Conference in Mathematics and Mathematical Physics. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814295574_0007.

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Reports on the topic "Mathematical physics Problems"

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Hyman, J., W. Beyer, J. Louck, and N. Metropolis. Development of the applied mathematics originating from the group theory of physical and mathematical problems. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/257450.

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Perdigão, Rui A. P. Earth System Dynamic Intelligence - ESDI. Meteoceanics, 2021. http://dx.doi.org/10.46337/esdi.210414.

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Earth System Dynamic Intelligence (ESDI) entails developing and making innovative use of emerging concepts and pathways in mathematical geophysics, Earth System Dynamics, and information technologies to sense, monitor, harness, analyze, model and fundamentally unveil dynamic understanding across the natural, social and technical geosciences, including the associated manifold multiscale multidomain processes, interactions and complexity, along with the associated predictability and uncertainty dynamics. The ESDI Flagship initiative ignites the development, discussion and cross-fertilization of novel theoretical insights, methodological developments and geophysical applications across interdisciplinary mathematical, geophysical and information technological approaches towards a cross-cutting, mathematically sound, physically consistent, socially conscious and operationally effective Earth System Dynamic Intelligence. Going beyond the well established stochastic-dynamic, information-theoretic, artificial intelligence, mechanistic and hybrid techniques, ESDI paves the way to exploratory and disruptive developments along emerging information physical intelligence pathways, and bridges fundamental and operational complex problem solving across frontier natural, social and technical geosciences. Overall, the ESDI Flagship breeds a nascent field and community where methodological ingenuity and natural process understanding come together to shed light onto fundamental theoretical aspects to build innovative methodologies, products and services to tackle real-world challenges facing our planet.

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Perdigão, Rui A. P., and Julia Hall. Spatiotemporal Causality and Predictability Beyond Recurrence Collapse in Complex Coevolutionary Systems. Meteoceanics, 2020. http://dx.doi.org/10.46337/201111.

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Causality and Predictability of Complex Systems pose fundamental challenges even under well-defined structural stochastic-dynamic conditions where the laws of motion and system symmetries are known. However, the edifice of complexity can be profoundly transformed by structural-functional coevolution and non-recurrent elusive mechanisms changing the very same invariants of motion that had been taken for granted. This leads to recurrence collapse and memory loss, precluding the ability of traditional stochastic-dynamic and information-theoretic metrics to provide reliable information about the non-recurrent emergence of fundamental new properties absent from the a priori kinematic geometric and statistical features. Unveiling causal mechanisms and eliciting system dynamic predictability under such challenging conditions is not only a fundamental problem in mathematical and statistical physics, but also one of critical importance to dynamic modelling, risk assessment and decision support e.g. regarding non-recurrent critical transitions and extreme events. In order to address these challenges, generalized metrics in non-ergodic information physics are hereby introduced for unveiling elusive dynamics, causality and predictability of complex dynamical systems undergoing far-from-equilibrium structural-functional coevolution. With these methodological developments at hand, hidden dynamic information is hereby brought out and explicitly quantified even beyond post-critical regime collapse, long after statistical information is lost. The added causal insights and operational predictive value are further highlighted by evaluating the new information metrics among statistically independent variables, where traditional techniques therefore find no information links. Notwithstanding the factorability of the distributions associated to the aforementioned independent variables, synergistic and redundant information are found to emerge from microphysical, event-scale codependencies in far-from-equilibrium nonlinear statistical mechanics. The findings are illustrated to shed light onto fundamental causal mechanisms and unveil elusive dynamic predictability of non-recurrent critical transitions and extreme events across multiscale hydro-climatic problems.

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Incongruity between biological and chronologic age among the pupils of sports schools and the problem of group lessons effectiveness at the initial stage of training in Greco-Roman wrestling. Aleksandr S. Kuznetsov, 2021. http://dx.doi.org/10.14526/2070-4798-2021-16-1-19-23.

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Considerable influence and compulsory dropout among those, who go in for GrecoRoman wrestling at the age of 10-13, does not take into account the level of individual biological development and integral demands domination claimed on too high general physical training (GPT) (4) normatives fulfillment. It corresponds with general situation in the system of education (6, 9). In spite of uneven speed of biological development (1, 8, 9), there are general demands claimed on physical training at school for age groups (5) in accordance with chronologic age. The same situation is at sports schools. Technical and physical training lessons at Greco-Roman wrestling school at the stage of initial training are organized according to general group principle. Research methods. Information sources analysis and summarizing, questionnaire survey, coaches’ experience summarizing, methods of mathematical statistics. Results. The received research results led to the following conclusion: it is possible to solve the problem of dropping out of Greco-Roman wrestling sports schools in terms of minimal loss in the quality of sports training by means of dividing the training groups into subgroups. There different normatives of material mastering and set by standard physical qualities development are used. For this purpose we created the training groups and subgroups of the set objectives realization at Greco-Roman wrestling sports schools.

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