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

Publikationen: Beitrag in FachzeitschriftArtikelForschung(peer-reviewed)

Autoren

Externe Organisationseinheiten

  • Dublin City University

Abstract

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.

Details

OriginalspracheEnglisch
Aufsatznummer104274
Seitenumfang43
Fachzeitschrift Stochastic processes and their applications
Jahrgang170.2024
AusgabenummerApril
DOIs
StatusVeröffentlicht - 15 Dez. 2023