Zero Diffusion-Dispersion-Smoothing Limits for a Scalar Conservation Law with Discontinuous Flux Function

We consider multidimensional conservation laws with discontinuous flux, which are regularized with vanishing diffusion and dispersion terms and with smoothing of the flux discontinuities. We use the approach of H-measures to investigate the zero diffusion-dispersion-smoothing limit.

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Bibliographic Details
Main Authors: H. Holden, K. H. Karlsen, D. Mitrovic
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2009/279818
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Description
Summary:We consider multidimensional conservation laws with discontinuous flux, which are regularized with vanishing diffusion and dispersion terms and with smoothing of the flux discontinuities. We use the approach of H-measures to investigate the zero diffusion-dispersion-smoothing limit.
ISSN:1687-9643
1687-9651