Asymptotic decay of Besicovitch almost periodic entropy solutions to anisotropic degenerate parabolic-hyperbolic equations

DOI10.1016/j.jde.2019.11.003zbMath1437.35432arXiv1806.05439OpenAlexW2983233805WikidataQ126814004 ScholiaQ126814004MaRDI QIDQ2297247

Hermano Frid, Ya-Chun Li

Publication date: 18 February 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.05439

zbMATH Keywords

anisotropic diffusionlarge-time behaviordegenerate parabolic-hyperbolic equationsBesicovitch almost periodic solutionsdecay of entropy solutionsnonlinearity-diffusivity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Degenerate parabolic equations (35K65) Hyperbolic conservation laws (35L65) Initial value problems for second-order parabolic equations (35K15) Second-order parabolic equations (35K10) Quasilinear parabolic equations (35K59)

Related Items

Besicovitch almost periodic solutions to semilinear evolution dynamic equations with varying delay, Invariant measures for stochastic conservation laws with Lipschitz flux in the space of almost periodic functions, Invariant measures for stochastic parabolic–hyperbolic equations in the space of almost periodic functions: Lipschitz flux case, On decay of entropy solutions to nonlinear degenerate parabolic equation with almost periodic initial data, Decay of entropy solutions of a scalar conservation law beyond a stationary ergodic setting

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homogeneous Dirichlet problems for quasilinear anisotropic degenerate parabolic-hyperbolic equations
• Nonhomogeneous Dirichlet problems for degenerate parabolic-hyperbolic equations
• Multiscale Young measures in almost periodic homogenization and applications
• Decay of entropy solutions of nonlinear conservation laws
• Entropy solutions for nonlinear degenerate problems
• Decay of almost periodic solutions of conservation laws
• Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations
• A boundary value problem for a class of anisotropic degenerate parabolic-hyperbolic equations
• On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients
• Quasilinear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients
• On the Cauchy problem for scalar conservation laws in the class of Besicovitch almost periodic functions: Global well-posedness and decay property
• Long Time Behavior of Periodic Solutions to Scalar Conservation Laws in Several Space Dimensions
• Large-time behavior of periodic entropy solutions to anisotropic degenerate parabolic-hyperbolic equations
• Renormalized Entropy Solutions for Quasi-linear Anisotropic Degenerate Parabolic Equations
• $L^1$ Contraction for Bounded (Nonintegrable) Solutions of Degenerate Parabolic Equations
• CAUCHY'S PROBLEM FOR DEGENERATE SECOND ORDER QUASILINEAR PARABOLIC EQUATIONS
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES