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Front Tracking for Scalar Conservation Laws with Spatially Heterogeneous Flux (2508.01814v1)
Published 3 Aug 2025 in math.AP
Abstract: In this article, we propose a novel front tracking scheme for scalar conservation laws with spatially heterogeneous, uniformly convex flux and demonstrate that the approximations converge to the entropy solution. The main tools we employ are Dafermos' generalised characteristics and Kruzkov's entropies.
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