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MiS Preprint

A center manifold technique for tracing viscous waves

Stefano Bianchini and Alberto Bressan


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.

MSC Codes:
hyperbolic systems, conservation laws, well posedness

Related publications

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