Logarithmically improved blow-up criteria for the 3D nonhomogeneous incompressible navier-stokes equations with vacuum

Qianqian Hou; Xiaojing Xu; Zhuan Ye

Logarithmically improved blow-up criteria for the 3D nonhomogeneous incompressible navier-stokes equations with vacuum

Qianqian Hou
, Xiaojing Xu
, Zhuan Ye^*

^*Corresponding author for this work

Hong Kong Polytechnic University
Beijing Normal University
Jiangsu Normal University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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].

Original language	English
Article number	192
Journal	Electronic Journal of Differential Equations
Volume	2016
State	Published - 14 Jul 2016
Externally published	Yes

Keywords

Blow-up criterion
Nonhomogeneous Navier-Stokes equations
Strong solution
Vacuum

Cite this

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title = "Logarithmically improved blow-up criteria for the 3D nonhomogeneous incompressible navier-stokes equations with vacuum",

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].",

keywords = "Blow-up criterion, Nonhomogeneous Navier-Stokes equations, Strong solution, Vacuum",

author = "Qianqian Hou and Xiaojing Xu and Zhuan Ye",

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year = "2016",

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day = "14",

language = "英语",

volume = "2016",

journal = "Electronic Journal of Differential Equations",

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T1 - Logarithmically improved blow-up criteria for the 3D nonhomogeneous incompressible navier-stokes equations with vacuum

AU - Hou, Qianqian

AU - Xu, Xiaojing

AU - Ye, Zhuan

PY - 2016/7/14

Y1 - 2016/7/14

N2 - 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].

AB - 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].

KW - Blow-up criterion

KW - Nonhomogeneous Navier-Stokes equations

KW - Strong solution

KW - Vacuum

UR - https://www.scopus.com/pages/publications/84983528115

M3 - 文章

AN - SCOPUS:84983528115

SN - 1550-6150

VL - 2016

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

M1 - 192

ER -

Logarithmically improved blow-up criteria for the 3D nonhomogeneous incompressible navier-stokes equations with vacuum

Abstract

Keywords

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