Persistence of generalized roll-waves under viscous perturbation

Details Persistence of generalized roll-waves under viscous perturbation Persistence of generalized roll-waves under viscous perturbation

2010-04-20

arxiv.org/abs/1004.3459v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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