Article Contents
Article Contents

# BV regularity near the interface for nonuniform convex discontinuous flux

• 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.
Mathematics Subject Classification: Primary: 35B65, 35L65, 35L67.

 Citation:

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