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