Zero Diffusion‐Dispersion‐Smoothing Limits for a Scalar Conservation Law with Discontinuous Flux Function | Zendy

Helge Holden | Zendy; Kenneth H. Karlsen | Zendy; Darko Mitrović | Zendy

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

Author(s) -

Helge Holden,

Kenneth H. Karlsen,

Darko Mitrović

Publication year - 2009

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2009/279818

Subject(s) - smoothing , classification of discontinuities , conservation law , mathematics , scalar (mathematics) , flux (metallurgy) , dispersion (optics) , diffusion , zero (linguistics) , limit (mathematics) , mathematical analysis , function (biology) , physics , geometry , statistics , quantum mechanics , linguistics , philosophy , evolutionary biology , biology , materials science , metallurgy

We consider multidimensional conservation laws with discontinuousflux, 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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