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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
53/2001

A center manifold technique for tracing viscous waves

Stefano Bianchini and Alberto Bressan

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.

Received:
Sep 25, 2001
Published:
Sep 25, 2001
MSC Codes:
35L65
Keywords:
hyperbolic systems, conservation laws, well posedness

Related publications

inJournal
2002 Repository Open Access
Stefano Bianchini and Alberto Bressan

A center manifold technique for tracing viscous waves

In: Communications on pure and applied analysis, 1 (2002) 2, pp. 161-190