@Article{CMAA-4-179, author = {Zheng , Pan}, title = {A Note on the Global Existence in a Fully Parabolic Patlak-Keller-Segel-Navier-Stokes System}, journal = {Communications in Mathematical Analysis and Applications}, year = {2025}, volume = {4}, number = {2}, pages = {179--201}, abstract = {
This paper is concerned with a fully parabolic Patlak-Keller-Segel-Navier-Stokes system
where $Ω ⊂\mathbb{R}^2$ is a smoothly bounded domain and the parameter $χ$ is positive.
The main aim of this note is to show that if
then the solution of the above system is global and bounded in time.