TY - JOUR

T1 - On the existence and uniqueness of solution to a stochastic chemotaxis-Navier-Stokes model

AU - Hausenblas, Erika

AU - Jidjou Moghomye, Boris

AU - Razafimandimby, Paul André

N1 - Publisher Copyright: © 2023 Elsevier B.V.

PY - 2023/12/15

Y1 - 2023/12/15

N2 - In this article, we study a mathematical system modelling 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 positive and satisfies the mass conservation property and an energy inequality.

AB - In this article, we study a mathematical system modelling 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 positive and satisfies the mass conservation property and an energy inequality.

KW - Navier–Stokes system

KW - Chemotaxis

KW - Stochastic

KW - Probabilistic weak solution

KW - Strong solution

UR - http://dx.doi.org/10.1016/j.spa.2023.104274

UR - http://www.scopus.com/inward/record.url?scp=85180375318&partnerID=8YFLogxK

U2 - 10.1016/j.spa.2023.104274

DO - 10.1016/j.spa.2023.104274

M3 - Article

VL - 170.2024

JO - Stochastic processes and their applications

JF - Stochastic processes and their applications

SN - 0304-4149

IS - April

M1 - 104274

ER -