On optimal regularity estimates for finite-entropy solutions of scalar conservation laws

We consider finite-entropy solutions of scalar conservation laws $u_t +a(u)_x =0$, that is, bounded weak solutions whose entropy productions are locally finite Radon measures. Under the assumptions that the flux function $a$ is strictly convex (with possibly degenerate convexity) and $a^{\prime \pri...

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Bibliographic Details
Main Authors: Lamy, Xavier, Lorent, Andrew, Peng, Guanying
Format: Article
Language:English
Published: Académie des sciences 2023-03-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.427/
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