On the Cauchy problem for scalar conservation laws in the class of Besicovitch almost periodic functions: Global well-posedness and decay property

DOI10.1142/S0219891616500168zbMath1355.35137arXiv1406.4838MaRDI QIDQ2831997

Evgeny Yu. Panov

Publication date: 4 November 2016

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

Full work available at URL: https://arxiv.org/abs/1406.4838

zbMATH Keywords

entropy solutionBohr compactificationcontinuous flux vector

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Almost and pseudo-almost periodic solutions to PDEs (35B15) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (15)

On some properties of entropy solutions of degenerate non-linear anisotropic parabolic equations ⋮ Invariant measures for stochastic conservation laws with Lipschitz flux in the space of almost periodic functions ⋮ On degenerate nonlinear parabolic equations on the Bohr compactum ⋮ On entropy solutions of scalar conservation laws with discontinuous flux ⋮ The Cauchy problem for a first-order quasilinear equation in the class of Besicovitch almost periodic functions ⋮ Invariant measures for stochastic parabolic–hyperbolic equations in the space of almost periodic functions: Lipschitz flux case ⋮ Decay of periodic entropy solutions to degenerate nonlinear parabolic equations ⋮ On decay of entropy solutions to nonlinear degenerate parabolic equation with almost periodic initial data ⋮ On almost periodic viscosity solutions to Hamilton-Jacobi equations ⋮ Asymptotic decay of Besicovitch almost periodic entropy solutions to anisotropic degenerate parabolic-hyperbolic equations ⋮ On the theory of entropy solutions of nonlinear degenerate parabolic equations ⋮ On the decay of viscosity solutions to Hamilton–Jacobi equations with almost periodic initial data ⋮ Multi-dimensional Besicovitch almost periodic type functions and applications ⋮ Decay of entropy solutions of a scalar conservation law beyond a stationary ergodic setting ⋮ On a condition of strong precompactness and the decay of periodic entropy solutions to scalar conservation laws

Cites Work

• Renormalized entropy solutions to the Cauchy problem for a quasilinear first order equation
• Renormalized entropy solutions to the Cauchy problem for first order quasilinear conservation laws in the class of periodic functions
• EXISTENCE OF STRONG TRACES FOR GENERALIZED SOLUTIONS OF MULTIDIMENSIONAL SCALAR CONSERVATION LAWS
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the Cauchy problem for scalar conservation laws in the class of Besicovitch almost periodic functions: Global well-posedness and decay property