Persistence of generalized roll-waves under viscous perturbation

Val\'erie Le Blanc (ICJ)

Persistence of generalized roll-waves under viscous perturbation

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arxiv 1004.3459 v1 pith:HJ3EIQYF submitted 2010-04-20 math.AP

Valérie Le Blanc (ICJ) This is my paper · ORCID

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keywords persistenceperturbationsolutionviscoushyperbolicperiodicsystemunder

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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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