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Preprint 2009-027

Existence and Uniqueness for Multidimensional Scalar Conservation Law with Discontinuous Flux

Darko Mitrovic

Abstract: We prove existence and uniqueness of an entropy solution to a multidimensional scalar conservation law with discontinuous flux with no structural hypothesis on the flux. The proof is based on the corresponding kinetic formulation of the considered equation and a “smart” change of an unknown function.

Paper:
Available as PDF (229 Kbytes).
Author(s):
Darko Mitrovic
Publishing information:
Comments:
Updated 2009-06-16.
Submitted by:
; 2009-05-26.