8 papers
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…