A Center Manifold Technique for Tracing Viscous Wavesstefano

نویسندگان

  • Stefano Bianchini
  • Alberto Bressan
  • STEFANO BIANCHINI
  • ALBERTO BRESSAN
چکیده

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

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تاریخ انتشار 2001