3 papers
math.NA2021
A Godunov type scheme and error estimates for multidimensional scalar conservation laws with Panov-type discontinuous flux
Shyam Sundar Ghoshal, John D Towers, Ganesh Vaidya
This article concerns a scalar multidimensional conservation law where the flux is of Panov type and may contain spatial discontinuities. We define a notion of entropy solution and…
math.AP2020
Convergence of a Godunov scheme for degenerate conservation laws with BV spatial flux and a study of Panov type fluxes
Shyam Sundar Ghoshal, John D. Towers, Ganesh Vaidya
In this article we prove convergence of the Godunov scheme of [16] for a scalar conservation law in one space dimension with a spatially discontinuous flux. There may be infinitely…
math.AP2020
Well-posedness for conservation laws with spatial heterogeneities and a study of BV regularity
Shyam Sundar Ghoshal, John D. Towers, Ganesh Vaidya
In this article, we consider scalar conservation laws with fluxes having spatial discontinuities and possible flat regions and study the following three aspects: (i) existence, (ii…