Global well-posedness for the 2D incompressible four-component chemotaxis-Navier-Stokes equations
This paper is concerned with a coupled chemotaxis-Navier-Stokes system in two dimensional space. The authors first consider a regularized problem, by Fourier localization technique, they prove the existence of global smooth solution of the regularized problem. Then using some uniform energy estimates and some discussion on compactness, the authors prove the global existence of weak solutions. And then the uniqueness of weak solutions is also established.
scientific article; zbMATH DE number 7191490