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math.PR2023★ 1 cited
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…
math.PR2023★ 1 cited
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…
math.PR2023★ 1 cited
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…