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Relevant bibliographies by topics / Decay of solutions

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Academic literature on the topic 'Decay of solutions'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 February 2022

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Journal articles on the topic "Decay of solutions"

1

Berman, Sheri. "Solutions for Democratic Decay." Dissent 68, no. 3 (2021): 193–97. http://dx.doi.org/10.1353/dss.2021.0058.

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Zhang, Yufeng, and Jiangen Liu. "Periodic and decay mode solutions of the generalized variable-coefficient Korteweg–de Vries equation." Modern Physics Letters B 33, no. 20 (2019): 1950234. http://dx.doi.org/10.1142/s0217984919502348.

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In this paper, we can obtain periodic and decay mode solutions of the generalized variable-coefficient Korteweg–de Vries (gvc-KdV) equation for the first time by using the multivariate transformation technique. Periodic solutions are doubly and triply periodic solutions, and the decay mode solutions include the 1-decay solution and the 2-decay mode solution. Furthermore, we will also study the effect of variation of parameters for solutions systematically, relating to different forms of expression, through graphic display.

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Santos, Mauro de Lima. "Decay rates for solutions of a Timoshenko system with a memory condition at the boundary." Abstract and Applied Analysis 7, no. 10 (2002): 531–46. http://dx.doi.org/10.1155/s1085337502204133.

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We consider a Timoshenko system with memory condition at the boundary and we study the asymptotic behavior of the corresponding solutions. We prove that the energy decay with the same rate of decay of the relaxation functions, that is, the energy decays exponentially when the relaxation functions decays exponentially and polynomially when the relaxation functions decays polynomially.

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4

Headrick, Matthew. "Decay ofC/Zn: exact supergravity solutions." Journal of High Energy Physics 2004, no. 03 (2004): 025. http://dx.doi.org/10.1088/1126-6708/2004/03/025.

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LI, HAI-LIANG, GUOJING ZHANG, and KAIJUN ZHANG. "ALGEBRAIC TIME DECAY FOR THE BIPOLAR QUANTUM HYDRODYNAMIC MODEL." Mathematical Models and Methods in Applied Sciences 18, no. 06 (2008): 859–81. http://dx.doi.org/10.1142/s0218202508002887.

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The initial value problem is considered in the present paper for the bipolar quantum hydrodynamic (QHD) model for semiconductors in ℝ3. The unique strong solution exists globally in time and tends to the asymptotical state with an algebraic decay rate as time goes to infinity is proved. And, the global solution of linearized bipolar QHD system decays in time at an algebraic decay rate from both above and below is shown. This means that in general we cannot get an exponential time-decay rate for bipolar QHD system, which is different from the case of unipolar QHD model (where global solutions t

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DENG, YINBIN, and YI LI. "EXPONENTIAL DECAY OF THE SOLUTIONS FOR NONLINEAR BIHARMONIC EQUATIONS." Communications in Contemporary Mathematics 09, no. 05 (2007): 753–68. http://dx.doi.org/10.1142/s0219199707002629.

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The purpose of this paper is to establish the exponential decay properties of the solutions for the nonlinear biharmonic equation [Formula: see text] We introduce the fundamental solutions for the linear biharmonic operator Δ2 - λ if λ < 0. By applying some properties of Hankel functions, which are the solutions of Bessel's equation, we obtain the asymptotic representation of the fundamental solution of Δ2 - λ at ∞ and 0. Asymptotic estimates of the solutions of (*) can be obtained from the properties of the fundamental solutions of Δ2 - λ.

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He, Cheng, and Zhouping Xin. "On the decay properties of solutions to the non-stationary Navier–Stokes equations in R3." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 131, no. 3 (2001): 597–619. http://dx.doi.org/10.1017/s0308210500001013.

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In this paper, we study the asymptotic decay properties in both spatial and temporal variables for a class of weak and strong solutions, by constructing the weak and strong solutions in corresponding weighted spaces. It is shown that, for the strong solution, the rate of temporal decay depends on the rate of spatial decay of the initial data. Such rates of decay are optimal.

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He, Cheng, та Zhouping Xin. "On the decay properties of solutions to the non-stationary Navier-Stokes equations in ℝ3". Proceedings of the Royal Society of Edinburgh: Section A Mathematics 131, № 3 (2001): 597–619. http://dx.doi.org/10.1017/s0308210501000269.

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In this paper, we study the asymptotic decay properties in both spatial and temporal variables for a class of weak and strong solutions, by constructing the weak and strong solutions in corresponding weighted spaces. It is shown that, for the strong solution, the rate of temporal decay depends on the rate of spatial decay of the initial data. Such rates of decay are optimal.

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Moroz, Vitaly, and Jean van Schaftingen. "Existence, Stability and Oscillation Properties of Slow-Decay Positive Solutions of Supercritical Elliptic Equations with Hardy Potential." Proceedings of the Edinburgh Mathematical Society 58, no. 1 (2014): 255–71. http://dx.doi.org/10.1017/s0013091513000588.

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AbstractWe prove the existence of a family of slow-decay positive solutions of a supercritical elliptic equation with Hardy potentialand study the stability and oscillation properties of these solutions. We also show that if the equation on ℝN has a stable slow-decay positive solution, then for any smooth compact K ⊂ ℝN a family of the exterior Dirichlet problems in ℝN \ K admits a continuum of stable slow-decay infinite-energy solutions.

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PAYNE, L. E., and G. A. PHILIPPIN. "DECAY BOUNDS FOR SOLUTIONS OF SECOND ORDER PARABOLIC PROBLEMS AND THEIR DERIVATIVES." Mathematical Models and Methods in Applied Sciences 05, no. 01 (1995): 95–110. http://dx.doi.org/10.1142/s0218202595000061.

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For a class of quasilinear parabolic equations, we derive in this paper a new maximum principle for the derivatives of solutions of homogeneous Dirichlet and Neumann initial boundary value problems. In the linear heat equation this principle is used to derive new explicit decay bounds for the absolute value of the gradient of the solution, and in the quasilinear problems, criteria are determined which imply that solutions decay exponentially. Explicit decay bounds are then established.

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Dissertations / Theses on the topic "Decay of solutions"

1

Caner, Evin. "Limestone Decay In Historic Monuments And Consolidation With Nanodispersive Calcium Hydroxide Solutions." Phd thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613267/index.pdf.

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Exposure to atmospheric conditions results of deterioration in historic monuments. and their stones. Limestone conservation presents many problems that have to be investigated in detail. In this study, limestone deterioration and development of its conservation treatments were investigated through examination of the statues carved from karstic limestones in Nemrut Dag Monument. The decay mechanisms that had major roles in their deterioration during two thousand years of exposure to atmospheric conditions and the development of their conservation treatments involved several types of analyses th

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Kronthaler, Johann. "Decay of solutions of the scalar wave equation in the Schwarzschild geometry." [S.l.] : [s.n.], 2007. http://deposit.ddb.de/cgi-bin/dokserv?idn=985139420.

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Yagdjian, Karen, and Anahit Galstian. "Fundamental solutions for wave equation in de Sitter model of universe." Universität Potsdam, 2007. http://opus.kobv.de/ubp/volltexte/2009/3027/.

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In this article we construct the fundamental solutions for the wave equation arising in the de Sitter model of the universe. We use the fundamental solutions to represent solutions of the Cauchy problem and to prove the Lp − Lq-decay estimates for the solutions of the equation with and without a source term.

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Smith, Dale T. "Expotential decay of resolvents of banded matrices and asymptotics of solutions of linear difference equations." Diss., Georgia Institute of Technology, 1990. http://hdl.handle.net/1853/29218.

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Pohl, Marvin Nicolas [Verfasser]. "Intermolecular Electronic Decay in Aqueous Solutions: A Liquid-Phase Photoelectron Spectroscopy Study / Marvin Nicolas Pohl." Berlin : Freie Universität Berlin, 2018. http://d-nb.info/1176705776/34.

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Treude, Jan-Hendrik Verfasser], and Felix [Akademischer Betreuer] [Finster. "Decay in outgoing null directions of solutions of the massive Dirac equation in certain asymptotically flat, static spacetimes / Jan-Hendrik Treude. Betreuer: Felix Finster." Regensburg : Universitätsbibliothek Regensburg, 2015. http://d-nb.info/107616109X/34.

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Ottosson, Niklas. "Aqueous Solutions as seen through an Electron Spectrometer : Surface Structure, Hydration Motifs and Ultrafast Charge Delocalization Dynamics." Doctoral thesis, Uppsala universitet, Yt- och gränsskiktsvetenskap, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-151435.

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In spite of their high abundance and importance, aqueous systems are enigmatic on the microscopic scale. In order to obtain information about their geometrical and electronic structure, simple aqueous solutions have been studied experimentally by photo- and Auger electron spectroscopy using the novel liquid micro-jet technique in conjunction with synchrotron radiation. The thesis is thematically divided into three parts. In the first part we utilize the surface sensitivity of photoelectron spectroscopy to probe the distributions of solutes near the water surface. In agreement with recent theor

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Tristani, Isabelle. "Existence et stabilité de solutions fortes en théorie cinétique des gaz." Thesis, Paris 9, 2015. http://www.theses.fr/2015PA090013/document.

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Cette thèse est centrée sur l’étude d’équations issues de la théorie cinétique des gaz. Dans tous les problèmes qui y sont explorés, une analyse des problèmes linéaires ou linéarisés associés est réalisée d’un point de vue spectral et du point de vue des semi-groupes. A cela s’ajoute une analyse de la stabilité non linéaire lorsque le modèle est non linéaire. Plus précisément, dans une première partie, nous nous intéressons aux équations de Fokker-Planck fractionnaire et Boltzmann sans cut-off homogène en espace et nous prouvons un retour vers l’équilibre des solutions de ces équations avec un

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Feng, Yuehong. "Stabilité de solutions régulières pour des systèmes d'Euler-Maxwell et de Navier-Stokes-Maxwell compressibles." Thesis, Clermont-Ferrand 2, 2014. http://www.theses.fr/2014CLF22484/document.

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Cette thèse est essentiellement composée de deux parties traitant des problèmes de Cauchy ou des problèmes périodiques. Dans la première partie, on étudie la stabilité de solutions régulières au voisinage d'états d'équilibre non constants pour un système d'Euler-Maxwell isentropique compressible bipolaire. Par des estimations d'énergie classiques et un argument de récurrence sur l'ordre des dérivées des solutions, on montre l'existence globale et l'unicité des solutions régulières du système lorsque les données initiales sont proches des états d'équilibre. On obtient aussi le comportement asym

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Lima, Lidiane dos Santos Monteiro 1984. "Sobre uma família de EDP's do tipo escalar ativo em espaços críticos de Lebesgue e Fourier-Besov-Morrey." [s.n.], 2014. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307595.

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Orientador: Lucas Catão de Freitas Ferreira<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-24T12:47:02Z (GMT). No. of bitstreams: 1 Lima_LidianedosSantosMonteiro_D.pdf: 2071234 bytes, checksum: 6370d2ea978f96792562cdc2e2406365 (MD5) Previous issue date: 2014<br>Resumo: Nesta tese consideramos uma família de EDPs dissipativas do tipo escalar ativo cujos campos velocidades são acoplados aos escalares através de operadores multiplicadores de Fourier que podem ser de alta ordem. Na prime

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Books on the topic "Decay of solutions"

1

Parker, L. V. Additional studies on the softening of rigid PVC by aqueous solutions of organic solvents. US Army Corps of Engineers, Cold Regions Research and Engineering Laboratory, 1995.

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Marino, Zennaro, ed. Numerical methods for delay differential equations. Clarendon Press, 2003.

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Buchacker, Ullrich. Ein neues Verfahren zur numerischen Behandlung von retardierten Anfangswertproblemen. Selbstverlag des Mathematischen Instituts, 1988.

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4

Hyberbolic [sic] periodic solutions, heteroclinic connections, and transversal homoclinic points in autonomous differential delay equations. American Mathematical Society, 1989.

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Hans-Otto, Walther, and Wu Jianhong, eds. Shape, smoothness, and invariant stratification of an attracting set for delayed monotone positive feedback. American Mathematical Society, 1999.

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Hayashi, Hiroshi. Numerical solution of retarded and neutral delay differential equations using continuous Runge-Kutta methods. University of Toronto, Dept. of Computer Science, 1996.

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Helping find innovative and cost-effective solutions to overburdened state criminal courts: Hearing before the Subcommittee on Crime and Drugs of the Committee on the Judiciary, United States Senate, One Hundred Eleventh Congress, second session, May 3, 2010, Philadelphia, Pennsylvania. U.S. G.P.O., 2010.

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United States. Congress. Senate. Committee on the Judiciary. Subcommittee on Administrative Oversight and the Courts. Revisiting proposals to split the Ninth Circuit: An inevitable solution to a growing problem : hearing before the Subcommittee on Administrative Oversight and the Courts of the Committee on the Judiciary, United States Senate, One Hundred Ninth Congress, first session, October 26, 2005. U.S. G.P.O., 2005.

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9

Dix, Daniel Beach. Decay of solutions to the Benjamin-Ono-Burgers equation. 1988.

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Agmon, Shmuel. Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of N-Body Schrodinger Operations. Princeton University Press, 2016.

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Book chapters on the topic "Decay of solutions"

1

Nicola, Fabio, and Luigi Rodino. "Exponential Decay and Holomorphic Extension of Solutions." In Global Pseudo-Differential Calculus on Euclidean Spaces. Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-7643-8512-5_8.

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Qin, Yuming, and Zhiyong Ma. "Energy Decay for Thermoviscoelastic Systems." In Global Well-posedness and Asymptotic Behavior of the Solutions to Non-classical Thermo(visco)elastic Models. Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-1714-8_9.

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de Figueiredo, Djairo G., and Yang Jianfu. "Decay, Symmetry and Existence of Solutions of Semilinear Elliptic Systems." In Djairo G. de Figueiredo - Selected Papers. Springer International Publishing, 1998. http://dx.doi.org/10.1007/978-3-319-02856-9_30.

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Tomisaki, Matsuyo. "Power order decay of elementary solutions of generalized diffusion equations." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0078510.

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Nanbu, Tokumori. "Existence and Decay of Solutions of Some Nonlinear Degenerate Parabolic Equations." In Direct and Inverse Problems of Mathematical Physics. Springer US, 2000. http://dx.doi.org/10.1007/978-1-4757-3214-6_17.

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Fernández, José R., Antonio Magaña, and Ramón Quintanilla. "On the Exponential Decay of Solutions in Dual-Phase-Lag Porous Thermoelasticity." In 11th Chaotic Modeling and Simulation International Conference. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-15297-0_6.

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Lasiecka, I., and W. Heyman. "Maximal Decay Rates and Asymptotic Behavior of Solutions in Nonlinear Elastic Structures." In Optimal Design and Control. Birkhäuser Boston, 1995. http://dx.doi.org/10.1007/978-1-4612-0839-6_15.

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Trivisa, Konstantina. "Decay and Uniqueness of Solutions of Nonlinear Hyperbolic Conservation Laws via Generalized Characteristics." In Hyperbolic Problems: Theory, Numerics, Applications. Birkhäuser Basel, 1999. http://dx.doi.org/10.1007/978-3-0348-8724-3_47.

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Benaissa, Abbes, and Salim A. Messaoudi. "Global Existence and Energy Decay of Solutions for a Nondissipative Wave Equation with a Time-Varying Delay Term." In Progress in Partial Differential Equations. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00125-8_1.

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Qin, Yuming, and Zhiyong Ma. "Energy Decay for a Timoshenko-Type System with a Past History." In Global Well-posedness and Asymptotic Behavior of the Solutions to Non-classical Thermo(visco)elastic Models. Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-1714-8_3.

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Conference papers on the topic "Decay of solutions"

1

Ogawa, Takayoshi. "Decay and asymptotic behavior of solutions of the Keller–Segel system of degenerate and nondegenerate type." In Self-Similar Solutions of Nonlinear PDE. Institute of Mathematics Polish Academy of Sciences, 2006. http://dx.doi.org/10.4064/bc74-0-10.

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Brenner, Philip. "On the Lp-decay and local energy decay of solutions to nonlinear Klein-Gordon equations." In Evolution Equations Propagation Phenomena - Global Existence - Influence of Non-Linearities. Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc60-0-7.

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Krasnopevtceva, Marina, Victor Belik, Daria Gorbenko, Irina Semenova, Andrey Smolin, and Oleg Vasyutinskii. "Anisotropic decay of polarized fluorescence of FAD in water-methanol solutions." In Ultrafast Nonlinear Imaging and Spectroscopy VIII, edited by Zhiwen Liu, Demetri Psaltis, and Kebin Shi. SPIE, 2020. http://dx.doi.org/10.1117/12.2567943.

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Gangopadhyay, S., M. W. Pleil, and W. L. Borst. "Fluorescence Decay Kinetics Of Polyester Yellow In Solutions And In Polymers." In OE/LASE '89, edited by E. R. Menzel. SPIE, 1989. http://dx.doi.org/10.1117/12.951549.

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Adibi-Asl, R., and R. Seshadri. "Decay Length in Pressure Vessels." In ASME 2017 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/pvp2017-66135.

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In theory of shell, decay length is defined as the distance affected by localized external (applied loads) or internal (edge effect, discontinuity) forces and moments, beyond which the effect of these loads becomes negligible. The concept of decay length becomes relevant when assessing the interaction effects caused by adjacent discontinuities. In this paper, the decay lengths for several shells geometries, specifically cylindrical, spherical and conical shells, are reviewed. The available expressions for decay lengths in the literature are listed and are compared with finite element analysis

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NANBU, TOKUMORI. "ON SOME DECAY ESTIMATES OF SOLUTIONS FOR SOME NONLINEAR DEGENERATE DIFFUSION EQUATIONS." In Proceedings of the 3rd ISAAC Congress. World Scientific Publishing Company, 2003. http://dx.doi.org/10.1142/9789812794253_0116.

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Shen, Guolun, and Yaojun Ye. "On the decay of global solutions for some nonlinear damped higher order wave equations." In 2010 2nd International Conference on Information Science and Engineering (ICISE). IEEE, 2010. http://dx.doi.org/10.1109/icise.2010.5691387.

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Ye, Yaojun. "Decay Estimates of Global Solutions for Some Model Equation Long Wave in Nonlinear Dispersion." In 2009 First International Conference on Information Science and Engineering. IEEE, 2009. http://dx.doi.org/10.1109/icise.2009.452.

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Grinstein, Fernando F. "Implicit Large-Eddy Simulation of Transition and Turbulence Decay." In ASME-JSME-KSME 2019 8th Joint Fluids Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/ajkfluids2019-5451.

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Abstract Accurate predictions with quantifiable uncertainties are essential to many practical turbulent flow applications exhibiting extreme geometrical complexity and broad ranges of length and time scales. Under-resolved computer simulations are typically unavoidable in such applications, and implicit large-eddy simulation (ILES) often becomes the effective strategy. We focus on ILES initialized with well-characterized 2563 homogeneous isotropic turbulence datasets generated with direct numerical simulation (DNS). ILES is based on the LANL xRAGE code, and solutions are examined as function o

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Romanovsky, Yury M., Andrey Y. Chikishev, Stanislav V. Kroo, and Alexei V. Netrebko. "Computer simulation of the decay of nonlinear subglobular oscillations in aqueous solutions of protein molecules." In International Symposium on Biomedical Optics, edited by Alexander V. Priezzhev and Gerard L. Cote. SPIE, 2002. http://dx.doi.org/10.1117/12.468317.

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Reports on the topic "Decay of solutions"

1

Temple, B. Decay with a Rate for Noncompactly Supported Solutions of Conservation Laws. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada158163.

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Sun, Y. A Collection of Analytical Solutions for England and Rider Decay Networks. Office of Scientific and Technical Information (OSTI), 2021. http://dx.doi.org/10.2172/1781761.

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Cloutman, L. Analytic solutions for the decay of turbulent swirling flow in a cylinder. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/5110095.

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Hald, Ole H., Yelena Shvets, and Panagiotis Stinis. Application of the t-model of optimal prediction to the estimationof the rate of decay of solutions of the Euler equations in two and threedimensions. Office of Scientific and Technical Information (OSTI), 2006. http://dx.doi.org/10.2172/919384.

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Gilsinn, David E. Approximating periodic solutions of autonomous delay differential equations. National Institute of Standards and Technology, 2006. http://dx.doi.org/10.6028/nist.ir.7375.

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Bartels, D. M. Atomic hydrogen reaction rates in aqueous solution via free-induction decay attenuation. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/198837.

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Erneux, Thomas. Bridges of Periodic Solutions and Tori in Semiconductor Lasers Subject to Delay. Defense Technical Information Center, 2001. http://dx.doi.org/10.21236/ada388272.

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Schock, Alfred. Closed-Form Solution for the Effect of Fuel Decay and Thermoelectric Degradation on Output of SiGe RTGs. Office of Scientific and Technical Information (OSTI), 1991. http://dx.doi.org/10.2172/1033353.

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Kodupuganti, Swapneel R., Sonu Mathew, and Srinivas S. Pulugurtha. Modeling Operational Performance of Urban Roads with Heterogeneous Traffic Conditions. Mineta Transportation Institute, 2021. http://dx.doi.org/10.31979/mti.2021.1802.

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The rapid growth in population and related demand for travel during the past few decades has had a catalytic effect on traffic congestion, air quality, and safety in many urban areas. Transportation managers and planners have planned for new facilities to cater to the needs of users of alternative modes of transportation (e.g., public transportation, walking, and bicycling) over the next decade. However, there are no widely accepted methods, nor there is enough evidence to justify whether such plans are instrumental in improving mobility of the transportation system. Therefore, this project re

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10

Sen, Aditi, and Nafkote Dabi. Tightening the Net: Net zero climate targets – implications for land and food equity. Oxfam, 2021. http://dx.doi.org/10.21201/2021.7796.

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Many governments and companies are adopting net zero climate targets as they recognize the urgency of the climate crisis. Without clear definition, however, these targets risk being reliant on using vast swathes of land in low-income countries to capture carbon emissions, allowing the biggest emitters to avoid making significant cuts in their own emissions. ‘Net zero’ could end up being a dangerous distraction that could delay the rapid reductions in emissions that high-emitting countries and companies need to make if we are to avoid catastrophic climate breakdown. It could also lead to an exp

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