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Stability of rarefaction waves in viscous media - MaRDI portal

Stability of rarefaction waves in viscous media (Q1915148)

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scientific article; zbMATH DE number 887202
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Stability of rarefaction waves in viscous media
scientific article; zbMATH DE number 887202

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    Stability of rarefaction waves in viscous media (English)
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    11 June 1996
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    This is a study of the large time asymptotic behaviour of a weak rarefaction wave for the parabolic system \(u_t+f(u)_x=u_{xx}\) with a strictly hyperbolic first member. Solutions of perturbed rarefaction data converge to an approximate Burgers rarefaction wave for suitably small and localized initial perturbations.
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    shock stability
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    approximate Burgers rarefaction wave
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