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Boundary layers for parabolic perturbations of quasi-linear hyperbolic problems

✍ Scribed by Jing Wang

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
175 KB
Volume
32
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper, we study the asymptotic relation between the solutions to the one‐dimensional viscous conservation laws with the Dirichlet boundary condition and the associated inviscid solution. We assume that the viscosity matrix is positive definite, then we prove the existence and the stability of the weak boundary layers by discussing nonlinear well‐posedness of the inviscid flow with certain boundary conditions. Copyright Β© 2009 John Wiley & Sons, Ltd.

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