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Minimal entropy conditions for Burgers equation


De Lellis, C; Otto, F; Westdickenberg, M (2004). Minimal entropy conditions for Burgers equation. Quarterly of Applied Mathematics, 62(4):687-700.

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.

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.

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Additional indexing

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:25 Dec 2016 06:12
Publisher:Brown University
ISSN:0033-569X
Additional Information:First published in [Quart. Appl. Math. 62 (2004), no. 4], published by the American Mathematical Society
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

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