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math.AP2013★ 82 cited
Global Wellposeness for the 3D inhomogeneous incompressible Navier-Stokes equations
Walter Craig, Xiangdi Huang, Yun Wang
This paper addresses the three-dimensional Navier-Stokes equations for an incompressible fluid whose density is permitted to be inhomogeneous. We establish a theorem of global exis…
math.AP2012★ 1 cited
One New Blowup Criterion for the 2D Full Compressible Navier-Stokes System
Yun Wang
We establish a blowup criterion for the two-dimensional (2D) full compressible Navier-Stokes system. The criterion is given in terms of the divergence of the velocity field only, a…
math.AP2012★ 144 cited
Global Strong solution with vacuum to the 2D nonhomogeneous incompressible MHD system
Xiangdi Huang, Yun Wang
In this paper, we first prove the unique global strong solution with vacuum to the two dimensional nonhomogeneous incompressible MHD system, as long as the initial data satisfies s…