5 papers
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…
Stochastic PDEs in for SDEs driven by Lévy noise
Suprio Bhar, Rajeev Bhaskaran, Barun Sarkar
In this article we show that a finite dimensional stochastic differential equation driven by a Lévy process can be formulated as a stochastic partial differential equation. We prov…
Parametric family of SDEs driven by Lévy noise
Suprio Bhar, Barun Sarkar
In this article we study the existence and uniqueness of strong solutions of a class of parameterized family of SDEs driven by Lévy noise. These SDEs occurs in connection with a cl…
Solutions of SPDE's associated with a stochastic flow
Suprio Bhar, Rajeev Bhaskaran, Barun Sarkar
We consider the following stochastic partial differential equation, \begin{align*} &dY_t=L^\ast Y_tdt+A^\ast Y_t\cdot dB_t\\ &Y_0=ψ, \end{align*} associated with a stochastic flow…