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Preprint 2009-014

Zero diffusion-dispersion-smoothing limits for scalar conservation law with discontinuous flux function

Helge Holden, Kenneth H. Karlsen and Darko Mitrovic

Abstract: We consider multi-dimensional 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 by Panov to investigate the zero diffusion-dispersion-smoothing limit.

Paper:
Available as PDF (316 Kbytes).
Author(s):
Helge Holden,
Kenneth H. Karlsen,
Darko Mitrovic,
Publishing information:
Comments:
Submitted by:
; 2009-04-02.