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math.AP2017★ 63 cited
On the Cauchy Problem of 3D Nonhomogeneous Navier-Stokes Equations with Density-Dependent Viscosity and Vacuum
Cheng He, Jing Li, Boqiang Lü
We consider the global existence and large-time asymptotic behavior of strong solutions to the Cauchy problem of the three-dimensional nonhomogeneous incompressible Navier-Stokes e…
math.AP2017★ 19 cited
New -regularity criteria of suitable weak solutions of the 3D Navier-Stokes equations at one scale
Cheng He, Yanqing Wang, Daoguo Zhou
In this paper, by invoking the appropriate decomposition of pressure to exploit the energy hidden in pressure, we present some new -regularity criteria for suitable we…