We consider the chemotaxis Navier–Stokes equations which are the Keller–Segel model coupled to the incompressible Navier–Stokes equations in dimension three. We prove the global existence of the solution in the critical Besov spaces with small initial data only, which is a new result and improves the previous result.
Bibliographical noteFunding Information:
This work was supported by NRF under the grant 20151002708 . The authors would like to thank the anonymous reviewer for his/her valuable comments and suggestions to improve the quality of the paper.
All Science Journal Classification (ASJC) codes
- Applied Mathematics