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A center manifold technique for tracing viscous waves

TitleA center manifold technique for tracing viscous waves
Publication TypeJournal Article
Year of Publication2002
AuthorsBianchini, S, Bressan, A
JournalCommun. Pure Appl. Anal. 1 (2002) 161-190
Abstract

In this paper we introduce a new technique for tracing viscous travelling profiles. To illustrate the method, we consider a special 2 x 2 hyperbolic system of conservation laws with viscosity, and show that any solution can be locally decomposed as the sum of 2 viscous travelling profiles. This yields the global existence, stability and uniform BV bounds for every solution with suitably small BV data.

URLhttp://hdl.handle.net/1963/3075

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