Displaying similar documents to “Regularity of pressure in the neighbourhood of regular points of weak solutions of the Navier-Stokes equations”

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.

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 .