7 citations · 7 across the 7 of their papers we have counts for
12 papers
A note on existence of smooth solution to Jacobian equation for compactly supported smooth data in
Animesh Jana
In this note, we give an explicit construction of global solutions to the prescribed Jacobian equation \[ \det(\nabla u)=f\mbox{ in }\mathbb{R}^2, \] for a class of data. For every…
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…
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…
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…
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…
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…