Title | Minimal entropy conditions for Burgers equation. |
Publication Type | Journal Article |
Year of Publication | 2004 |
Authors | De Lellis C., Otto F., Westdickenberg M. |
Journal | Quarterly of Applied Mathematics |
Volume | 62 |
Pagination | 687–700 |
Publisher | Brown University |
Type of Article | scalar |
ISSN | 0033-569X |
Keywords | entropy conditions, entropy solutions, viscosity solutions |
Abstract | 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. |
Notes | Quart. Appl. Math. 62 (2004), no. 4, 687–700. |
URL | http://www.ams.org/jourcgi/jrnl_toolbar_nav/qam_all |
DOI | 10.1090/qam/2104269 |
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