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math.AP2022
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…
math.AP2022
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…