TitleMinimal entropy conditions for Burgers equation.
Publication TypeJournal Article
Year of Publication2004
AuthorsDe Lellis C., Otto F., Westdickenberg M.
JournalQuarterly of Applied Mathematics
Volume62
Pagination687–700
PublisherBrown University
Type of Articlescalar
ISSN0033-569X
Keywordsentropy 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.

URLhttp://www.ams.org/jourcgi/jrnl_toolbar_nav/qam_all
DOI10.1090/qam/2104269
Order: 
3