3 papers
math.AP2025
Existence of weak solution of 3D ferrohydrodynamic equations with transport noise: Bloch-Torrey regularisation
Aristide Ndongmo Ngana, Paul Razafimandimby
In this article, we consider a stochastic ferrohydrodynamic system which describes the Bloch-Torrey regularization of the motion of an electrically conducting ferrofluids driven by…
math.PR2025
Weak solutions of Navier-Stokes Equation with purely discontinuous Lévy Noise
Zdzisław Brzeźniak, Tomasz Kosmala, Elżbieta Motyl +1
In this paper we prove the existence of weak martingale solutions to the stochastic Navier-Stokes Equations driven by pure jump Lévy processes. Our proof consists of two parts. In…
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…