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Preprints, Working Papers, ... Year : 2010

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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hal-00474560 , version 1 (20-04-2010)

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