## International Journal of Differential Equations

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

#### Abstract

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.

#### Article information

Source
Int. J. Differ. Equ., Volume 2009 (2009), Article ID 279818, 33 pages.

Dates
Revised: 24 August 2009
Accepted: 24 September 2009
First available in Project Euclid: 26 January 2017

https://projecteuclid.org/euclid.ijde/1485399818

Digital Object Identifier
doi:10.1155/2009/279818

Mathematical Reviews number (MathSciNet)
MR2564008

Zentralblatt MATH identifier
1206.35170

#### Citation

Holden, H.; Karlsen, K. H.; Mitrovic, D. Zero Diffusion-Dispersion-Smoothing Limits for a Scalar Conservation Law with Discontinuous Flux Function. Int. J. Differ. Equ. 2009 (2009), Article ID 279818, 33 pages. doi:10.1155/2009/279818. https://projecteuclid.org/euclid.ijde/1485399818

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