An Overview on Some Results Concerning the Transport Equation and its Applications to Conservation Laws

Abstract

We provide an informal overview on the theory of transport equations with non smooth velocity fields, and on some applications of this theory to the well-posedness of hyperbolic systems of conservation laws.

12 pages

References in corpus (2)

• An Ill Posed Cauchy Problem for a Hyperbolic System in Two Space Dimensions
• A Lemma and a Conjecture on the Cost of Rearrangements