@Article{CSIAM-AM-6-799,
author = {Liu , Chao and Liu , Bin},
title = {Global Solvability in a Two-Species Keller-Segel-Navier-Stokes System with Sub-Logistic Source},
journal = {CSIAM Transactions on Applied Mathematics},
year = {2025},
volume = {6},
number = {4},
pages = {799--841},
abstract = {<p style="text-align: justify;">This paper is concerned with a two-species Keller-Segel-Navier-Stokes model with sub-logistic source in a bounded domain with smooth boundary under noflux/no-flux/no-flux/Dirichlet boundary conditions. For a large class of cell kinetics including sub-logistic degradation, it is shown that under an explicit condition involving the chemotactic strength and initial mass of cells, the two-dimensional Keller-Segel-Navier-Stokes problem possesses a global and bounded classical solution. In the
case with arbitrary superlinear logistic degradation, it is proved that for all suitably
regular initial data, the two-dimensional Keller-Segel-Navier-Stokes problem has at
least one globally defined solution in an appropriate generalized sense. These results
improves and extends the previously known ones.</p>},
issn = {2708-0579},
doi = {https://doi.org/10.4208/csiam-am.SO-2024-0016},
url = {http://global-sci.org/intro/article_detail/csiam-am/24503.html}
}