Interior regularity of weak solutions to the perturbed Navier-Stokes equations

Pigong Han

Displaying similar documents to “Interior regularity of weak solutions to the perturbed Navier-Stokes equations”

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.

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

Skalák, Zdeněk, Kučera, Petr (2001)

Commentationes Mathematicae Universitatis Carolinae

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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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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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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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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.

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.

The boundary regularity of a weak solution of the Navier-Stokes equation and its connection to the interior regularity of pressure

Jiří Neustupa (2003)

Applications of Mathematics

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We assume that $𝕧$ is a weak solution to the non-steady Navier-Stokes initial-boundary value problem that satisfies the strong energy inequality in its domain and the Prodi-Serrin integrability condition in the neighborhood of the boundary. We show the consequences for the regularity of $𝕧$ near the boundary and the connection with the interior regularity of an associated pressure and the time derivative of $𝕧$ .