7 citations · 18 across the 18 of their papers we have counts for
23 papers · 1 filter
Optimal regularity for all time for entropy solutions of conservation laws in
Shyam Sundar Ghoshal, Billel Guelmame, Animesh Jana +1
This paper deals with the optimal regularity for entropy solutions of conservation laws. For this purpose, we use two key ingredients: (a) fine structure of entropy solutions and (…
On blow up of solutions of isentropic Euler system
Shyam Sundar Ghoshal, Animesh Jana
In this article, we study the break-down of smooth and continuous solutions to isentropic Euler system in multi dimension. Sideris [Comm. Math. Phys. 1985] proved the blow up of sm…
Higher regularity for entropy solutions of conservation laws with geometrically constrained discontinuous flux
Shyam Sundar Ghoshal, Stephane Junca, Akash Parmar
For the Burgers equation, the entropy solution becomes instantly BV with only initial data. For conservation laws with genuinely nonlinear discontinuous flux, it is well…
Fractional regularity for conservation laws with discontinuous flux
Shyam Sundar Ghoshal, Stephane Junca, Akash Parmar
This article deals with the regularity of the entropy solutions of scalar conservation laws with discontinuous flux. It is well-known [Adimurthi et al., Comm. Pure Appl. Math. 2011…
Existence of BV solution for the Euler-Poisson system in one dimension with large initial data
Shyam Sundar Ghoshal, Boris Haspot, Animesh Jana
This paper deals with the existence of BV solution for the Euler-Poisson system endowed with a pressure law. More precisely, we prove the existence of weak solution in the BV f…
Weak-Strong Uniqueness for the Isentropic Euler Equations with Possible Vacuum
Shyam Sundar Ghoshal, Animesh Jana, Emil Wiedemann
We establish a weak-strong uniqueness result for the isentropic compressible Euler equations, that is: As long as a sufficiently regular solution exists, all energy-admissible weak…
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…
A sufficient condition for uniqueness of weak solutions of the incompressible Euler system
Shyam Sundar Ghoshal, Animesh Jana
We give a new sufficient criteria to prove the uniqueness of the incompressible Euler equation in dimension . In their celebrated works by V. Scheffer [18], A. Shnirelman […
Optimal jump set in hyperbolic conservation laws
Shyam Sundar Ghoshal, Animesh Jana
This paper deals with some qualitative properties of entropy solutions to hyperbolic conservation laws. In [11] the jump set of entropy solution to conservation laws has been intro…
Uniqueness of dissipative solutions to the complete Euler system
Shyam Sundar Ghoshal, Animesh Jana
Dissipative solutions have recently been studied as a generalized concept for weak solutions of the complete Euler system. Apparently, these are expectations of suitable measure-va…
On uniqueness of dissipative solutions to the isentropic Euler system
Eduard Feireisl, Shyam Sundar Ghoshal, Animesh Jana
The dissipative solutions can be seen as a convenient generalization of the concept of weak solution to the isentropic Euler system. They can be seen as expectations of the Young m…
Proof of Lions-Perthame-Tadmor conjecture and Jabin's conjecture on regularity for scalar conservation laws in higher dimension
Shyam Sundar Ghoshal, Animesh Jana
[Note: Currently the proof is incomplete as we are using the lemma 3.2 which is not true in general]. We offer a complete resolution of a conjecture by Lions-Perthame-Tadmor mentio…
Non existence of the BV regularizing effect for scalar conservation laws in several space dimension
Shyam Sundar Ghoshal, Animesh Jana
This article deals with the regularity aspects of entropy solutions to scalar conservation laws. We show that for each C2 flux in multi-D, there exists an entropy solution which do…
Single shock solution for non convex scalar conservation laws
Adimurthi, Shyam Sundar Ghoshal
In this paper we study the finite time emergence of one shock for the solution of scalar conservation laws in one space dimension with general flux f . We give a necessary and suff…
Exact and optimal controllability for scalar conservation laws with discontinuous flux
Adimurthi, Shyam Sundar Ghoshal, Pierangelo Marcati
This paper deals with an optimal control problem and describes the reachable set for the scalar 1-D conservation laws with discontinuous flux. Regarding the optimal control problem…
BV regularity near the interface for nonuniform convex discontinuous flux
Shyam Sundar Ghoshal
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…
Finer analysis of characteristic curves and its application to shock profile, exact and optimal controllability of a scalar conservation law with strict convex flux
Adimurthi, Shyam Sundar Ghoshal, G. D. Veerappa Gowda
Here we consider scalar conservation law in one space dimension with strictly convex flux. Goal of this paper is to study two problems. First problem is to know the profile of the…