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

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Authors

External Organisational units

  • Dublin City University

Abstract

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

Original languageEnglish
Article numberPaper No. 104274
Number of pages43
Journal Stochastic processes and their applications
Volume2024
Issue number170
DOIs
Publication statusPublished - Apr 2024