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Some applications of the SBV Regularity Theorem for entropy solutions of 1D scalar conservation laws to ConvectionTheory and sticky particles

TitleSome applications of the SBV Regularity Theorem for entropy solutions of 1D scalar conservation laws to ConvectionTheory and sticky particles
Publication TypeJournal Article
Year of Publication2012
AuthorsTonon, D
JournalRiv. Mat. Univ. Parma
Volume3
Pagination163–175
Abstract

We show how it is possible to apply the SBV Regularity Theorem for entropy solutions of one-dimensional scalar conservation laws, proved by Ambrosio and De Lellis, to Convection Theory and sticky particles. In the multi-dimensional case we present a counterexample which prevent us from using the same approach.

URLhttps://hal.archives-ouvertes.fr/hal-00918409

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