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Title: Logarithmically improved blow-up criteria for the 3D nonhomogeneous incompressible navier-stokes equations with vacuum
Authors: Hou, Q
Xu, X
Ye, Z
Keywords: Blow-up criterion
Nonhomogeneous Navier-Stokes equations
Strong solution
Issue Date: 2016
Publisher: Texas State University - San Marcos
Source: Electronic journal of differential equations, 2016, v. 2016 , 192 How to cite?
Journal: Electronic journal of differential equations 
Abstract: This article is devoted to the study of the nonhomogeneous in-compressible Navier-Stokes equations in space dimension three. By making use of the “weakly nonlinear” energy estimate approach introduced by Lei and Zhou in [16], we establish two logarithmically improved blow-up criteria of the strong or smooth solutions subject to vacuum for the 3D nonhomogeneous incompressible Navier-Stokes equations in the whole space ℝ3. This results extend recent regularity criterion obtained by Kim (2006) [13].
ISSN: 1072-6691
EISSN: 1550-6150
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