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

Daniela Tonon (1)

1 SISSA / ISAS - Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies

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.

Domaines: Equations aux dérivées partielles [math.AP]

Daniela Tonon. Some applications of the SBV Regularity Theorem for entropy solutions of 1D scalar conservation laws to ConvectionTheory and sticky particles. Rivista di Matematica della Università di Parma, 2012, 3 (1), pp.163-175. ⟨hal-00918409⟩