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Global Solvability of Two-Dimensional Stochastic Chemotaxis-Navier-Stokes System

Global Solvability of Two-Dimensional Stochastic Chemotaxis-Navier-Stokes System

Year:    2025

Author:    Fan Xu, Bin Liu

East Asian Journal on Applied Mathematics, Vol. 15 (2025), Iss. 2 : pp. 242–267

Abstract

This paper considers a chemotaxis model coupled a stochastic Navier-Stokes equation in two-dimensional case. In non-convex bounded domain, it is proved that the stochastic chemotaxis-Navier-Stokes system possesses at least one global martingale weak solution when the chemotactic sensitivity function $\chi$ is nonsingular. In convex bounded domain, under the conditions of $\chi$ and per capita oxygen consumption rate $h$ are appropriately relaxed (where $\chi$ allows singularity), it is proved that the system admits a unique global mild solution. Our results generalize previously known ones.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.2023-114.050224

East Asian Journal on Applied Mathematics, Vol. 15 (2025), Iss. 2 : pp. 242–267

Published online:    2025-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    26

Keywords:    Stochastic chemotaxis-Navier-Stokes system martingale solution mild solution.

Author Details

Fan Xu

Bin Liu