7 citations · 18 across the 18 of their papers we have counts for
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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…
Uniqueness and energy balance for isentropic Euler equation with stochastic forcing
Shyam Sundar Ghoshal, Animesh Jana, Barun Sarkar
In this article, we prove uniqueness and energy balance for isentropic Euler system driven by a cylindrical Wiener process. Pathwise uniqueness result is obtained for weak solution…
Energy-balance for the incompressible Euler equations with stochastic forcing
Shyam Sundar Ghoshal, Animesh Jana, Barun Sarkar
We establish energy-balance for weak solutions of the stochastically forced incompressible Euler equations, enjoying Hölder regularity , . It is well known as the Onsag…
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…
Exact and optimal controllability for scalar conservation laws with discontinuous flux
Adimurthi, Shyam Sundar Ghoshal
This paper describes the reachable set and resolves an optimal control problem for the scalar conservation laws with discontinuous flux. We give a necessary and sufficient criteria…
On the uniqueness of solutions to hyperbolic systems of conservation laws
Shyam Sundar Ghoshal, Animesh Jana, Konstantinos Koumatos
For general hyperbolic systems of conservation laws we show that dissipative weak solutions belonging to an appropriate Besov space and satisfying a one-sided boun…
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…