TY - JOUR
T1 - Global Solvability in a Two-Species Keller-Segel-Navier-Stokes System with Sub-Logistic Source
AU - Liu , Chao
AU - Liu , Bin
JO - CSIAM Transactions on Applied Mathematics
VL - 4
SP - 799
EP - 841
PY - 2025
DA - 2025/09
SN - 6
DO - http://doi.org/10.4208/csiam-am.SO-2024-0016
UR - https://global-sci.org/intro/article_detail/csiam-am/24503.html
KW - Keller-Segel-Navier-Stokes, sub-logistic source, boundedness, generalized solution.
AB - <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>