L2-type Lyapunov functions for hyperbolic scalar conservation laws

DOI10.1080/03605302.2021.1983597zbMath1484.35063arXiv2106.00337OpenAlexW3203663804MaRDI QIDQ5037299

Denis Serre

Publication date: 28 February 2022

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.00337

zbMATH Keywords

conservation lawsLyapunov functionsshock waves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic equations (35L03)

Cites Work

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• Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation
• A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
• A solution formula for a non‐convex scalar hyperbolic conservation law with monotone initial data
• The stability of multidimensional shock fronts
• The Cauchy Problem for Symmetric Hyperbolic Systems in Lp.

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