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.
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© 2016 Elsevier Inc.
All Science Journal Classification (ASJC) codes
- Applied Mathematics