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Nonlinear asymptotic stability of viscous shock profiles for conservation laws - MaRDI portal

Nonlinear asymptotic stability of viscous shock profiles for conservation laws (Q1094589)

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scientific article; zbMATH DE number 4025985
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Nonlinear asymptotic stability of viscous shock profiles for conservation laws
scientific article; zbMATH DE number 4025985

    Statements

    Nonlinear asymptotic stability of viscous shock profiles for conservation laws (English)
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    1986
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    Ein Stabilitätssatz für stehende Wellen, die Lösung des strikt hyperbolischen, strikt nichtlinearen Problems \(u_ t+f(u)_ x=0\), \(u\in {\mathbb{R}}^ n\) sind, wird bewiesen.
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    viscous shock profiles
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    positive definite viscosity
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    weak shocks
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    small perturbations
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    travelling wave
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    stability
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