Persistence of generalized roll-waves under viscous perturbation

Valérie Le Blanc (1)

1 ICJ - Institut Camille Jordan

The purpose of this article is to study the persistence of solution of a hyperbolic system under small viscous perturbation. Here, the solution of the hyperbolic system is supposed to be periodic: it is a periodic perturbation of a roll-wave. So, it has an infinity of shocks. The proof of the persistence is based on an expansion of the viscous solution and estimates on Green's functions.

Mots clés: vanishing viscosity; roll-waves; Green's function

Domaines: Equations aux dérivées partielles [math.AP]

Valérie Le Blanc. Persistence of generalized roll-waves under viscous perturbation. 2010. ⟨hal-00474560⟩