Existence and stability of a multidimensional scalar conservation law with discontinuous flux

Darko Mitrovic

doi:10.3934/nhm.2010.5.163

Article Contents

2010, Volume 5, Issue 1: 163-188. Doi: 10.3934/nhm.2010.5.163

This issue Previous Article The coolest path problem Next Article

Existence and stability of a multidimensional scalar conservation law with discontinuous flux

Darko Mitrovic^1,

1.
Faculty of Mathematics, University of Montenegro, Cetinjski put bb, 81000 Podgorica

Received: June 30, 2009

Revised: November 30, 2009

Published: February 2010

Abstract Related Papers Cited by

Abstract

We prove the existence and stability of an entropy solution to a multidimensional scalar conservation law with discontinuous flux with no genuine nonlinearity assumptions. The proof is based on the corresponding kinetic formulation of the equation under consideration and a "smart" change of an unknown function.

Keywords:

multidimensional scalar conservation law; discontinuous flux; existence and uniqueness; kinetic formulation.

Mathematics Subject Classification: Primary: 35L65.

Citation:

Article Metrics

HTML views() PDF downloads(95) Cited by(0)

Existence and stability of a multidimensional scalar conservation law with discontinuous flux

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Existence and stability of a multidimensional scalar conservation law with discontinuous flux

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content