4 citations · 4 across the 6 of their papers we have counts for
6 papers
A convergence rate result for front tracking approximations of conservation laws with discontinuous flux
Shyam Sundar Ghoshal, John D Towers
We consider the initial value problem for a scalar conservation law in one space dimension with a single spatial flux discontinuity, the so-called two-flux problem. We prove that a…
Compactness estimates for difference schemes for conservation laws with discontinuous flux
Kenneth H. Karlsen, John D. Towers
We establish quantitative compactness estimates for finite difference schemes used to solve nonlinear conservation laws. These equations involve a flux function , wher…
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…
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…
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…
Convergence of a Godunov scheme to an Audusse-Perthame adapted entropy solution for conservation laws with BV spatial flux
Shyam Sundar Ghoshal, Animesh Jana, John D Towers
In this article we consider the initial value problem for a scalar conservation law in one space dimension with a spatially discontinuous flux. There may be infinitely many flux di…