TY - JOUR
T1 - Global Solvability of Two-Dimensional Stochastic Chemotaxis-Navier-Stokes System
AU - Xu , Fan
AU - Liu , Bin
JO - East Asian Journal on Applied Mathematics
VL - 2
SP - 242
EP - 267
PY - 2025
DA - 2025/01
SN - 15
DO - http://doi.org/10.4208/eajam.2023-114.050224
UR - https://global-sci.org/intro/article_detail/eajam/23749.html
KW - Stochastic, chemotaxis-Navier-Stokes system, martingale solution, mild solution.
AB - <p style="text-align: justify;">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&nbsp;<span style="text-align: justify; text-wrap-mode: wrap;">$\chi$</span> and per capita oxygen consumption rate $h$ are appropriately relaxed (where&nbsp;<span style="text-align: justify; text-wrap-mode: wrap;">$\chi$</span> allows singularity), it is proved that the system
admits a unique global mild solution. Our results generalize previously known ones.</p>