Logarithmically Improved Blow up Criterion for Smooths Solution to the 3D Micropolar Fluid Equations

Journal of Applied Mathematics ◽

10.1155/2012/541203 ◽

2012 ◽

Vol 2012 ◽

pp. 1-13

Author(s):

Yin-Xia Wang ◽

Hengjun Zhao

Keyword(s):

Micropolar Fluid ◽

Blow Up ◽

Smooth Solutions ◽

Fluid Equations ◽

Micropolar Fluid Equations ◽

Blow Up Criterion

Blow-up criteria of smooth solutions for the 3D micropolar fluid equations are investigated. Logarithmically improved blow-up criteria are established in the Morrey-Campanto space.

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A logarithmically improved blow-up criterion for smooth solutions to the micropolar fluid equations in weak multiplier spaces

Boundary Value Problems ◽

10.1186/1687-2770-2013-122 ◽

2013 ◽

Vol 2013 (1) ◽

Author(s):

Juan Zhao

Keyword(s):

Micropolar Fluid ◽

Blow Up ◽

Smooth Solutions ◽

Fluid Equations ◽

Micropolar Fluid Equations ◽

Blow Up Criterion

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A logarithmically improved blow-up criterion for smooth solutions to the 3D micropolar fluid equations

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2011.12.018 ◽

2012 ◽

Vol 13 (4) ◽

pp. 1904-1912 ◽

Cited By ~ 8

Author(s):

Yu-Zhu Wang ◽

Hecai Yuan

Keyword(s):

Micropolar Fluid ◽

Blow Up ◽

Smooth Solutions ◽

Fluid Equations ◽

Micropolar Fluid Equations ◽

Blow Up Criterion

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Blow-up criterion of smooth solutions for magneto-micropolar fluid equations with partial viscosity

Boundary Value Problems ◽

10.1186/1687-2770-2011-11 ◽

2011 ◽

Vol 2011 (1) ◽

Cited By ~ 8

Author(s):

Yu-Zhu Wang ◽

Yifang Li ◽

Yin-Xia Wang

Keyword(s):

Micropolar Fluid ◽

Blow Up ◽

Smooth Solutions ◽

Fluid Equations ◽

Micropolar Fluid Equations ◽

Blow Up Criterion

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Blow-up criterion for two-dimensional magneto-micropolar fluid equations with partial viscosity

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1510 ◽

2011 ◽

Vol 34 (17) ◽

pp. 2125-2135 ◽

Cited By ~ 14

Author(s):

Yu-Zhu Wang ◽

Yin-Xia Wang

Keyword(s):

Micropolar Fluid ◽

Blow Up ◽

Two Dimensional ◽

Fluid Equations ◽

Micropolar Fluid Equations ◽

Blow Up Criterion

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A blow-up criterion of strong solutions to two-dimensional nonhomogeneous micropolar fluid equations with vacuum

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2020115 ◽

2020 ◽

Vol 25 (12) ◽

pp. 4603-4615

Author(s):

Xin Zhong ◽

Keyword(s):

Micropolar Fluid ◽

Blow Up ◽

Strong Solutions ◽

Two Dimensional ◽

Fluid Equations ◽

Micropolar Fluid Equations ◽

Blow Up Criterion

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Existence theorem and blow-up criterion of the strong solutions to the magneto-micropolar fluid equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.967 ◽

2007 ◽

Vol 31 (9) ◽

pp. 1113-1130 ◽

Cited By ~ 39

Author(s):

Jia Yuan

Keyword(s):

Existence Theorem ◽

Micropolar Fluid ◽

Blow Up ◽

Strong Solutions ◽

Fluid Equations ◽

Micropolar Fluid Equations ◽

Blow Up Criterion

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Blow-up criterion for the 3D micropolar fluid equations

Nonlinear Analysis and Differential Equations ◽

10.12988/nade.2020.91016 ◽

2020 ◽

Vol 8 (1) ◽

pp. 25-30

Author(s):

Dandan Ding

Keyword(s):

Micropolar Fluid ◽

Blow Up ◽

Fluid Equations ◽

Micropolar Fluid Equations ◽

Blow Up Criterion

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Blow-up criteria of smooth solutions to the three-dimensional micropolar fluid equations in Besov space

Discrete and Continuous Dynamical Systems - Series S ◽

10.3934/dcdss.2016090 ◽

2016 ◽

Vol 9 (6) ◽

pp. 2167-2179 ◽

Cited By ~ 2

Author(s):

Baoquan Yuan ◽

Xiao Li

Keyword(s):

Besov Space ◽

Micropolar Fluid ◽

Blow Up ◽

Three Dimensional ◽

Smooth Solutions ◽

Fluid Equations ◽

Micropolar Fluid Equations

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Blow-up criteria of smooth solutions to the three-dimensional magneto-micropolar fluid equations

Boundary Value Problems ◽

10.1186/s13661-015-0382-9 ◽

2015 ◽

Vol 2015 (1) ◽

Cited By ~ 1

Author(s):

Yinxia Wang

Keyword(s):

Micropolar Fluid ◽

Blow Up ◽

Three Dimensional ◽

Smooth Solutions ◽

Fluid Equations ◽

Micropolar Fluid Equations

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Blow-up criteria of strong solutions to the 3D micropolar fluid equations with partial viscosities

Rocky Mountain Journal of Mathematics ◽

10.1216/rmj.2021.51.375 ◽

2021 ◽

Vol 51 (1) ◽

Author(s):

Hui Zhang

Keyword(s):

Micropolar Fluid ◽

Blow Up ◽

Strong Solutions ◽

Fluid Equations ◽

Micropolar Fluid Equations

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