Conservation Laws with Discontinuous Gradient-Dependent Flux: the Stable Case

2024/11/15 by Amadori, Debora, Bressan, Alberto, Shen, Wen
#35D30 #35L65 #76A30 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2411.10443

Abstract

The paper is concerned with a scalar conservation law with discontinuous gradient-dependent flux. Namely, the flux is described by two different functions f(u) or g(u), when the gradient u_x of the solution is positive or negative, respectively. We study here the stable case where f(u)

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