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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…
Large Deviations for the Shell Model of Turbulence Perturbed by Levy Noise
Utpal Manna, Manil T. Mohan
The Laplace principle for the strong solution of the stochastic shell model of turbulence perturbed by Levy noise is established in a suitable Polish space using weak convergence a…
2-D Magneto-Hydrodynamic System with Jump Processes: Well Posedness and Invariant Measures
Utpal Manna, Manil T. Mohan
In this work we prove the existence and uniqueness of the strong solution to the two-dimensional stochastic magneto-hydrodynamic system perturbed by Levy noise. The local monotonic…