paper

A Godunov--type scheme for a scalar conservation law with space-time flux discontinuity

arXiv:2402.04104

Abstract

We present and analyze a new finite volume scheme of Gudonov-type for a nonlinear scalar conservation law whose flux function has a discontinuous coefficient due to time-dependent changes in its sign along a Lipschitz continuous curve.

arXiv comment37 pages, 8 figures