Some applications to the SBV Regularity Theorem for entropy solutions of 1D scalar conservation laws to Convection Theory and Sticky Particles

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 counterex-ample which prevent us from using the same approach.