Continuity in finite time of entropy solutions for nonconvex conservation laws with reaction term

Abstract

The aim of the paper is to study qualitative properties of entropy solutions to the Cauchy problem for the following reaction-convection equation with nonconvex flux f In particular we prove that under suitable assumptions the solution is continuous for large t.New resultsconcerning the asymptotic behavior of solutions are also given, proving convergence to a suitable combination of traveling profiles with different speeds.

Keywords:

• balance laws
• asymptotic behavior
• conservation laws with source