36 citations · 48 across the 13 of their papers we have counts for
18 papers
Small-Time Asymptotic Behavior of the Stochastic Landau--Lifshitz--Baryakhtar Equation
Utpal Manna, Sangram Satpathi
We establish a small-time large deviation principle for the stochastic Landau--Lifshitz--Baryakhtar equation using the framework of exponential equivalence. This result characteriz…
Stochastic control of the Landau-Lifshitz-Gilbert equation
Zdzisław Brzeźniak, Soham Gokhale, Utpal Manna
We consider the stochastic Landau-Lifshitz-Gilbert equation in dimension 1. A control process is added to the effective field. We show the existence of a weak martingale solution f…
Optimal control of the stochastic Landau-Lifshitz-Bloch equation
Soham Gokhale, Utpal Manna
We consider the stochastic Landau-Lifshitz-Bloch equation in dimensions 1,2,3, perturbed by a real-valued Wiener process. We consider a Suslin space-valued control process with a g…
Well-posedness and large deviations for the stochastic Landau Lifshitz Bloch equation
Soham Gokhale, Utpal Manna
The stochastic Landau-Lifshitz-Bloch equation in dimensions 1; 2; and 3 perturbed by pure jump noise is considered in the Marcus canonical form. A proof for existence of a martinga…
Weak martingale solutions for the stochastic nonlinear Schrödinger equation driven by pure jump noise
Zdzisław Brzeźniak, Fabian Hornung, Utpal Manna
We construct a martingale solution of the stochastic nonlinear Schrödinger equation with a multiplicative noise of jump type in the Marcus canonical form. The problem is formulated…
Existence of weak martingale solution of Nematic Liquid Crystals driven by Pure Jump Noise
Zdzisław Brzeźniak, Utpal Manna, Akash A. Panda
In this work we consider a stochastic evolution equation which describes the system governing the nematic liquid crystals driven by a pure jump noise. The existence of a martingale…