Logarithmically Improved Regularity Criterion for the 3D Micropolar Fluid Equations

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

Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 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.

Global Regularity Criterion for the Magneto-Micropolar Fluid Equations

ω(t, x) ∈ Rand b(t, x) ∈ R, and p(t, x) ∈ R denote, respectively, the microrotational velocity, the magnetic field, and the hydrostatic pressure. μ, χ, κ, γ, and ] are positive numbers associated with properties of the material: μ is the kinematic viscosity, χ is the vortex viscosity, κ and γ are spin viscosities, and 1/] is the magnetic Reynold. u 0 , ω 0 , and b 0 are initial data for the vel...

Regularity Criterion for Weak Solution to the 3D Micropolar Fluid Equations

A Regularity Criterion for the Magneto - Micropolar Fluid Equations in ̇B − 1 ∞ , ∞

Zhihao Tang, GangWang, and Haiwa Guan 1 Department of Fundamentals, Henan Polytechnic Institute, Nanyang, Henan 473009, China 2 Shandong Transport Vocational College, Weifang, Shandong 261206, China 3Department of Public Teaching, Wenzhou Vocational College of Science and Technology, Wenzhou, Zhejiang 325000, China Correspondence should be addressed to Haiwa Guan; [email protected] Received...

Regularity criteria for the 3D magneto-micropolar fluid equations in Besov spaces with negative indices