Viscous perturbations of isotropic solutions of the Keyfitz-Kranzer system Original Research Article

We study large time behaviour of viscous perturbations of the Keyfitz-Kranzer system. We restrict our attention to isotropic solutions. Parabolic perturbations which enable the propagation of such solutions are computed. We describe the behaviour of their solutions for large time. Numerical perturbations are also studied, in the particular case of the Godunov scheme. We prove the existence of an explicit parabolic perturbation, whose dynamics for large time coincides with the Godunov schemeʹs one.