MENU

You are here

On the concentration of entropy for scalar conservation laws

TitleOn the concentration of entropy for scalar conservation laws
Publication TypeJournal Article
Year of Publication2016
AuthorsBianchini, S, Marconi, E
JournalDiscrete & Continuous Dynamical Systems - S
Volume9
Pagination73
ISSN1937-1632
Keywordsconcentration; Conservation laws; entropy solutions; Lagrangian representation; shocks
Abstract

We prove that the entropy for an $L^∞$-solution to a scalar conservation laws with continuous initial data is concentrated on a countably $1$-rectifiable set. To prove this result we introduce the notion of Lagrangian representation of the solution and give regularity estimates on the solution.

URLhttp://aimsciences.org//article/id/ce4eb91e-9553-4e8d-8c4c-868f07a315ae
DOI10.3934/dcdss.2016.9.73

Sign in