Persistence of generalized roll-waves under viscous perturbation

Valérie Le Blanc

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arXiv · 1004.3459

Persistence of generalized roll-waves under viscous perturbation

Valérie Le Blanc

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Abstract

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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Valérie Le Blanc. 2010-04-20. Persistence of generalized roll-waves under viscous perturbation. https://arxiv.org/abs/1004.3459

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