@Article{EAJAM-15-242,
author = {Xu , Fan and Liu , Bin},
title = {Global Solvability of Two-Dimensional Stochastic Chemotaxis-Navier-Stokes System},
journal = {East Asian Journal on Applied Mathematics},
year = {2025},
volume = {15},
number = {2},
pages = {242--267},
abstract = {<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>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.2023-114.050224},
url = {http://global-sci.org/intro/article_detail/eajam/23749.html}
}