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.”

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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.

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Beirão da Veiga, H. (1997)

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Zujin Zhang, Weijun Yuan, Yong Zhou (2019)

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We review the developments of the regularity criteria for the Navier-Stokes equations, and make some further improvements.

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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)

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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.

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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.