| Autor: |
Lamy, Xavier, Lorent, Andrew, Peng, Guanying |
| Jazyk: |
English<br />French |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Comptes Rendus. Mathématique, Vol 361, Iss G3, Pp 599-608 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
1778-3569 |
| DOI: |
10.5802/crmath.427 |
| Popis: |
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 $a^{\prime \prime }$ forms a doubling measure, we obtain a characterization of finite-entropy solutions in terms of an optimal regularity estimate involving a cost function first used by Golse and Perthame. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
|
