Inviscid Limit for Scalar Viscous Conservation Laws in Presence of Strong Shocks and Boundary Layers
Year: 2012
Author: Shixiang Ma
Journal of Partial Differential Equations, Vol. 25 (2012), Iss. 2 : pp. 171–186
Abstract
In this paper, we study the inviscid limit problem for the scalar viscous conservation laws on half plane. We prove that if the solution of the corresponding inviscid equation on half plane is piecewise smooth with a single shock satisfying the entropy condition, then there exist solutions to the viscous conservation laws which converge to the inviscid solution away fromthe shock discontinuity and the boundary at a rate of ε^1 as the viscosity ε tends to zero.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v25.n2.4
Journal of Partial Differential Equations, Vol. 25 (2012), Iss. 2 : pp. 171–186
Published online: 2012-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Scalar viscous conservation laws
Author Details
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