Stability of viscous shock waves for problems with nonsymmetric viscosity matrices (Q2782961)
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scientific article; zbMATH DE number 1725816
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of viscous shock waves for problems with nonsymmetric viscosity matrices |
scientific article; zbMATH DE number 1725816 |
Statements
8 April 2002
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spectral analysis
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nonlinear stability
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Stability of viscous shock waves for problems with nonsymmetric viscosity matrices (English)
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The authors study stability of viscous shock waves satisfying a parabolic system of conservation laws \( v_t+f(v)_x=Bv_{xx} \), with generally nonsymmetric viscosity matrix \(B\), and give sufficient conditions for nonlinear stability, which are based on spectral analysis for the resolvent equation of the corresponding linearized problem.
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