Front Tracking for Scalar Conservation Laws with Spatially Heterogeneous Flux

Published 3 Aug 2025 in math.AP | (2508.01814v1)

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.

Abstract PDF Upgrade to Chat

Summary

No one has generated a summary of this paper yet.

Sign Up to Summarize

Paper to Video (Beta)

No one has generated a video about this paper yet.

Sign Up to Generate All Videos Subscribe on YouTube

Whiteboard

No one has generated a whiteboard explanation for this paper yet.

Sign Up to Generate

Paper Prompts

Sign up for free to create and run prompts on this paper using GPT-5.

Top Community Prompts

Explain it Like I'm 14

Practical Applications

Conceptual Simplification

Sign Up to Activate View All Prompts

Open Problems

We haven't generated a list of open problems mentioned in this paper yet.

Continue Learning

We haven't generated follow-up questions for this paper yet.

Authors (1)

Parasuram Venkatesh

Collections

Sign up for free to add this paper to one or more collections.