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math.PR2023
A Schauder-Tychonoff fixed-point approach for nonlinear Lévy driven reaction-diffusion systems
Erika Hausenblas, Michael A. Högele, Fahim Kistosil
We show a stochastic version of the Schauder-Tychonoff fixed point theorem which yields a solution of the martingale problem for a class of systems of nonlinear reaction-diffusion…
math.AP2023
On the existence and uniqueness of solution to a stochastic Chemotaxis-Navier-Stokes model
Erika Hausenblas, Boris Jidjou Moghomye, Paul André Razafimandimby
In this article, we study a mathematical system which models the dynamic of the collective behaviour of oxygen-driven swimming bacteria in an aquatic fluid flowing in a two dimensi…