On the global well-posedness of 3D inhomogeneous incompressible Navier-Stokes equations with density-dependent viscosity
On the global well-posedness of 3D inhomogeneous incompressible Navier-Stokes equations with density-dependent viscosity
In this paper, we are concerned with the global well-posedness of 3D inhomogeneous incompressible Navier-Stokes equations with density-dependent viscosity when the initial velocity is sufficiently small in the critical Besov space $\dot{B}^{\frac 12}$. Compared with the previous result of Abidi and Zhang (Science China Mathematics 58 (6) (2015) 1129-1150), we …