On Decay of Entropy Solutions to Multidimensional Conservation Laws

DOI10.1137/19M1256385zbMath1435.35247arXiv1904.01370WikidataQ114847144 ScholiaQ114847144MaRDI QIDQ5220421

Evgeny Yu. Panov

Publication date: 20 March 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.01370

zbMATH Keywords

multidimensional conservation lawsgenuine nonlinearitylong time decay property

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Hyperbolic conservation laws (35L65)

Related Items (5)

On some properties of entropy solutions of degenerate non-linear anisotropic parabolic equations ⋮ On decay of entropy solutions to multidimensional conservation laws in the case of perturbed periodic initial data ⋮ Boundary controllability and asymptotic stabilization of a nonlocal traffic flow model ⋮ A class of positive semi-discrete Lagrangian-Eulerian schemes for multidimensional systems of hyperbolic conservation laws ⋮ On decay of entropy solutions to degenerate nonlinear parabolic equations with perturbed periodic initial data

Cites Work

• Unnamed Item
• Unnamed Item
• On a condition of strong precompactness and the decay of periodic entropy solutions to scalar conservation laws
• Decay of entropy solutions of nonlinear conservation laws
• \(L^1\)-theory of scalar conservation law with continuous flux function
• On decay of periodic entropy solutions to a scalar conservation law
• Long Time Behavior of Periodic Solutions to Scalar Conservation Laws in Several Space Dimensions
• Hyperbolic systems of conservation laws II
• EXISTENCE OF STRONG TRACES FOR GENERALIZED SOLUTIONS OF MULTIDIMENSIONAL SCALAR CONSERVATION LAWS
• Large time behavior and homogenization of solutions of two‐dimensional conservation laws
• Maximum and minimum generalized entropy solutions to the Cauchy problem for a first-order quasilinear equation
• On generalized entropy solutions of the Cauchy problem for a first-order quasilinear equation in the class of locally summable functions
• Oscillation Properties of Scalar Conservation Laws
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Hyperbolic Conservation Laws in Continuum Physics
• A remark on the theory of generalized entropy sub- and supersolutions of the Cauchy problem for a first-order quasilinear equation

This page was built for publication: On Decay of Entropy Solutions to Multidimensional Conservation Laws