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arXiv · 1510.04614

BV regularity near the interface for nonuniform convex discontinuous flux

Shyam Sundar Ghoshal
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Abstract

In this paper, we discuss the total variation bound for the solution of scalar conservation laws with discontinuous flux. We prove the smoothing effect of the equation forcing the $BV_{loc}$ solution near the interface for $L^\infty$ initial data without the assumption on the uniform convexity of the fluxes made as in [1,21]. The proof relies on the method of characteristics and the explicit formulas.

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Shyam Sundar Ghoshal. 2016-03-04. BV regularity near the interface for nonuniform convex discontinuous flux. https://doi.org/10.3934/nhm.2016.11.xx

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