On the existence and uniqueness of solution to a stochastic Chemotaxis-Navier-Stokes model
Analysis of PDEs
2023-01-03 v1
Abstract
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 dimensional bounded domain under stochastic perturbation. This model can be seen as a stochastic version of Chemotaxis-Navier-Stokes model. We prove the existence of a unique (probabilistic) strong solution. In addition, we establish some properties of the strong solution. More precisely, we prove that the unique solution is non-negative and satisfies the mass conservation property and an energy inequality.
Keywords
Cite
@article{arxiv.2301.00654,
title = {On the existence and uniqueness of solution to a stochastic Chemotaxis-Navier-Stokes model},
author = {Erika Hausenblas and Boris Jidjou Moghomye and Paul André Razafimandimby},
journal= {arXiv preprint arXiv:2301.00654},
year = {2023}
}