In this paper we introduce a new technique for tracing viscous travlling profiles. To illustrate the method, we consider a special 2×2 hyperbolic system of conversation laws with viscosity, and show that any solution can be locally decomposed as the sume of 2 viscous travlling proflies. This yields the global existence, stability and uniform BV bounds for every solution with suitably small BV data.
A center manifold technique for tracing viscous waves / Bianchini, Stefano; Bressan, Alberto. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 1:2(2002), pp. 161-190. [10.3934/cpaa.2002.1.161]
A center manifold technique for tracing viscous waves
Bianchini, Stefano;Bressan, Alberto
2002-01-01
Abstract
In this paper we introduce a new technique for tracing viscous travlling profiles. To illustrate the method, we consider a special 2×2 hyperbolic system of conversation laws with viscosity, and show that any solution can be locally decomposed as the sume of 2 viscous travlling proflies. This yields the global existence, stability and uniform BV bounds for every solution with suitably small BV data.File in questo prodotto:
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