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A center manifold technique for tracing viscous waves
Stefano Bianchini and Alberto BressanAbstract
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:
- 25.09.01
- Published:
- 25.09.01
- MSC Codes:
- 35L65
- Keywords:
- hyperbolic systems, conservation laws, well posedness