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Landau-Lifshitz-Gilbert equations: Controllability by Low Modes Forcing for deterministic version and Support Theorems for Stochastic version
Mrinmay Biswas, Erika Hausenblas, Debopriya Mukherjee
In this article, we study the controllability issues of the Landau-Lifshitz-Gilbert Equations (LLGEs), accompanied with non-zero exchange energy only, in an interval in one spatial…
Uniqueness of the stochastic Keller-Segel model in one dimension
Erika Hausenblas, Debopriya Mukherjee, Thanh Tran
In a recent paper (J. Differential Equations, 310: 506-554, 2022), the authors proved the existence of martingale solutions to a stochastic version of the classical Patlak-Keller-S…
Martingale Solution to a Stochastic Chemotaxis System with Porous Medium Diffusion
Erika Hausenblas, Debopriya Mukherjee, Ali Zakaria
In this paper, we study the classical Keller - Segel system on a two-dimensional domain perturbed by a pair of Wiener processes, where the leading diffusion term is replaced by a p…