De Lellis, C; Otto, F; Westdickenberg, M (2004). Minimal entropy conditions for Burgers equation. Quarterly of Applied Mathematics, 62(4):687-700.
We consider stricly convex, 1-d scalar conservation laws. We show that a single strictly convex entropy is sufficient to characterize a Kruzhkov solution. The proof uses the concept of viscosity solution for the related Hamilton-Jacobi equation.
We consider stricly convex, 1-d scalar conservation laws. We show that a single strictly convex entropy is sufficient to characterize a Kruzhkov solution. The proof uses the concept of viscosity solution for the related Hamilton-Jacobi equation.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Uncontrolled Keywords: | entropy solutions, entropy conditions, viscosity solutions |
| Language: | English |
| Date: | 2004 |
| Deposited On: | 17 Sep 2010 07:36 |
| Last Modified: | 24 Nov 2018 21:13 |
| Publisher: | Brown University |
| ISSN: | 0033-569X |
| Additional Information: | First published in [Quart. Appl. Math. 62 (2004), no. 4], published by the American Mathematical Society |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1090/qam/2104269 |
| Official URL: | http://www.ams.org/distribution/qam |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2104269 |
De Lellis, C