Manil T. Mohan

Stochastic Euler equations of fluid dynamics with Lévy noise

Abstract : In this work we prove the existence and uniqueness of pathwise solutions up to a stopping time to the stochastic Euler equations perturbed by additive and multiplicative Lvy noise in two and three dimensions. The existence of a unique maximal solution is also proved.

Stochastic non-resistive magnetohydrodynamic system with L\'{e}vy noise

Abstract In this work we prove the existence and uniqueness of path-wise solutions up to a maximal time for the viscous, non-resistive stochastic magnetohydrodynamic system perturbed by Lévy noise in two and three dimensions. The local-in-time existence and uniqueness result for the ideal and non-viscous MHD equations with Lévy noise is also addressed.

Stochastic Navier–Stokes Equations in Unbounded Channel Domains

In this paper we prove the existence and uniqueness of path-wise strong solution to stochastic viscous flow in unbounded channels with multiple outlets using local monotonicity arguments. We devise a construction for solvability using a stochastic basic vector field.