Boundary layers in weak solutions of hyperbolic conservation laws. III: Vanishing relaxation limits.
Joseph, K.T., LeFloch, P.G. (2002)
Portugaliae Mathematica. Nova Série
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Joseph, K.T., LeFloch, P.G. (2002)
Portugaliae Mathematica. Nova Série
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Patrick Joly, Sébastien Tordeux (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this article, we derive a complete mathematical analysis of a coupled 1D-2D model for 2D wave propagation in media including thin slots. Our error estimates are illustrated by numerical results.
Willie, Robert (2003)
Journal of Applied Mathematics
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Roger Temam, Xiaoming Wang (1998)
Archivum Mathematicum
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This article is concerned with the nonlinear singular perturbation problem due to small diffusivity in nonlinear evolution equations of Chaffee-Infante type. The boundary layer appearing at the boundary of the domain is fully described by a corrector which is “explicitly" constructed. This corrector allows us to obtain convergence in Sobolev spaces up to the boundary.