A regularity criterion for the nematic liquid crystal flows.
Zhou, Yong, Fan, Jishan (2010)
Journal of Inequalities and Applications [electronic only]
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Displaying similar documents to “Regularity criteria for the generalized viscous MHD equations”
A regularity criterion for the nematic liquid crystal flows.
Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure.
Fan, Jishan, Ozawa, Tohru (2008)
Journal of Inequalities and Applications [electronic only]
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A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient
Stefano Bosia, Monica Conti, Vittorino Pata (2014)
Open Mathematics
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The incompressible three-dimensional Navier-Stokes equations are considered. A new regularity criterion for weak solutions is established in terms of the pressure gradient.
A regularity criterion for the dissipative quasi-geostrophic equations
Hongjie Dong, Nataša Pavlović (2009)
Annales de l'I.H.P. Analyse non linéaire
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Interior regularity of weak solutions to the perturbed Navier-Stokes equations
Pigong Han (2012)
Applications of Mathematics
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In this paper we establish interior regularity for weak solutions and partial regularity for suitable weak solutions of the perturbed Navier-Stokes system, which can be regarded as generalizations of the results in L. Caffarelli, R. Kohn, L. Nirenberg: Partial regularity of suitable weak solutions of the Navier-Stokes equations, Commun. Pure. Appl. Math. 35 (1982), 771–831, and S. Takahashi, On interior regularity criteria for weak solutions of the Navier-Stokes equations, Manuscr....
Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity
Alexis Vasseur (2009)
Applications of Mathematics
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In this short note we give a link between the regularity of the solution to the 3D Navier-Stokes equation and the behavior of the direction of the velocity . It is shown that the control of in a suitable norm is enough to ensure global regularity. The result is reminiscent of the criterion in terms of the direction of the vorticity, introduced first by Constantin and Fefferman. However, in this case the condition is not on the vorticity but on the velocity itself. The proof, based...