4 papers
Well-posedness of 2D stochastic parabolic-parabolic Keller-Segel system with logistic source
Erika Hausenblas, Boris Jidjou Moghomye, Paul Andre Razafimandimby
We consider a stochastic, fully parabolic Keller-Segel system with multiplicative noise in non-divergence form and a logistic source in a two-dimensional bounded domain, subject to…
Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise
Erika Hausenblas, Boris Jidjou Moghomye, Paul Andre Razafimandimby
This work is devoted to the convergence of a time-discrete numerical scheme of a semi-discretization model arising from biology, consisting of a chemotaxis equation coupled with a…
An Abstract Framework for Nonlinear Stochastic Parabolic Systems with Application to a Chemotaxis-Fluid Model
Erika Hausenblas, Boris Jidjou Moghomye
The purpose of the paper is twofold. Firstly, we want to present an abstract existence Theorem to show the existence of a martingale solution for coupled systems of non-linear stoc…
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…