Delta shock waves for a system of Keyfitz‐Kranzer type

Abstract

AbstractThis paper is concerned with a hyperbolic system of conservation laws of Keyfitz‐Kranzer type. We show the existence of a delta shock wave solution using the vanishing viscosity method. The obtained solution satisfies the generalized Rankine‐Hugoniot relation and the entropy condition. As a consequence, we have also a uniqueness result for the obtained solution.