BV regularity near the interface for nonuniform convex discontinuous flux
Analysis of PDEs
2016-03-07 v2
Abstract
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 solution near the interface for 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.
Keywords
Cite
@article{arxiv.1510.04614,
title = {BV regularity near the interface for nonuniform convex discontinuous flux},
author = {Shyam Sundar Ghoshal},
journal= {arXiv preprint arXiv:1510.04614},
year = {2016}
}