Regularity criteria for the 3D magneto-micropolar fluid equations in the Morrey-Campanato space
type: Item
instance of: scholarly article
title: Regularity criteria for the 3D magneto-micropolar fluid equations in the Morrey-Campanato space
zbMATH Open document ID: 1191.35214
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2010-05-07T00:00:00Z
review text: Some improved regularity criteria for the 3D magneto-micropolar fluid equations are established in Morrey-Campanato spaces. After recalling some fundamental notions a regularity theorem is proven, and a criterion by velocity is given to the Leray type weak solution of the fundamental equations of motion, by giving criteria for the limits of the velocity and its gradient in concrete forms.
reviewed by: A. Ádám
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 5705413
zbMATH Keywords: magneto micropolar fluid equations
zbMATH Keywords: regularity criterion
zbMATH Keywords: Morrey-Campanato spaces
author: Sadek Gala
MaRDI profile type: Publication
full work available at URL: s00030-009-0047-4
OpenAlex ID: W2145919939
cites work: Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD
cites work: Q3419867
cites work: Inéquations en thermoélasticité et magnétohydrodynamique
cites work: On the existence and stability of solutions for the micropolar fluids in exterior domains
cites work: UNIQUENESS OF MILD SOLUTIONS OF THE NAVIER-STOKES SYSTEM IN LN
cites work: A note on the existence and uniqueness of solutions of the micropolar fluid equations
cites work: On the regularity criteria for weak solutions to the magnetohydrodynamic equations
cites work: On the regularity of weak solutions to the magnetohydrodynamic equations
cites work: Strong solutions of the Navier-Stokes equation in Morrey spaces
cites work: Weak solutions of the Navier-Stokes equations with test functions in the weak-\(L^n\) space
cites work: Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
cites work: Q5576913
cites work: Q4782579
cites work: Q4893762
cites work: Magneto-micropolar fluid motion: Global existence of strong solutions
cites work: Magneto - Micropolar Fluid Motion: Existence and Uniqueness of Strong Solution
cites work: Magneto-micropolar fluid motion: Existence of weak solutions
cites work: Some mathematical questions related to the mhd equations
cites work: Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations
cites work: Global existence and exponential stability for the micropolar fluid system
cites work: Existence of global strong solution to the micropolar fluid system in a bounded domain
cites work: Regularity of weak solutions to magneto-micropolar fluid equations
cites work: Remarks on regularities for the 3D MHD equations
cites work: Regularity criteria for the 3D MHD equations in terms of the pressure
cites work: Regularity criteria for the generalized viscous MHD equations
cites work: Regularity criteria for the solutions to the 3D MHD equations in the multiplier space
DOI: 10.1007/S00030-009-0047-4
description: scientific article; zbMATH DE number 5705413