Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure.

Fan, Jishan; Ozawa, Tohru

Displaying similar documents to “Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure.”

Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity

Patrick Penel, Milan Pokorný (2004)

Applications of Mathematics

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We study the nonstationary Navier-Stokes equations in the entire three-dimensional space and give some criteria on certain components of gradient of the velocity which ensure its global-in-time smoothness.

On the regularity with respect to time of weak solutions of the Navier-Stokes equations

K. K. Golovkin, A. Krzywicki (1967)

Colloquium Mathematicae

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On the regularity for solutions of the micropolar fluid equations

Elva Ortega-Torres, Marko Rojas-Medar (2009)

Rendiconti del Seminario Matematico della Università di Padova

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Remarks on the smoothness of the $L^{\infty} (0, T; L^{3})$ solutions of the 3-D Navier-Stokes equations.

Beirão da Veiga, H. (1997)

Portugaliae Mathematica

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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 short note on regularity criteria for the Navier-Stokes equations containing the velocity gradient

Milan Pokorný (2005)

Banach Center Publications

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We review several regularity criteria for the Navier-Stokes equations and prove some new ones, containing different components of the velocity gradient.

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....

Remark on regularity of weak solutions to the Navier-Stokes equations

Zdeněk Skalák, Petr Kučera (2001)

Commentationes Mathematicae Universitatis Carolinae

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Some results on regularity of weak solutions to the Navier-Stokes equations published recently in [3] follow easily from a classical theorem on compact operators. Further, weak solutions of the Navier-Stokes equations in the space $L^{2} (0, T, W^{1, 3} {(𝛺)}^{3})$ are regular.