Remark on regularity of weak solutions to the Navier-Stokes equations.
Skalák, Zdeněk, Kučera, Petr (2001)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “Remark on regularity of weak solutions to the Navier-Stokes equations”
Remark on regularity of weak solutions to the Navier-Stokes equations.
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K. K. Golovkin, A. Krzywicki (1967)
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Beirão da Veiga, H. (1997)
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Interior regularity of weak solutions to the perturbed Navier-Stokes equations
Pigong Han (2012)
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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....
Time-dependent coupling of Navier–Stokes and Darcy flows
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ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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A weak solution of the coupling of time-dependent incompressible Navier–Stokes equations with Darcy equations is defined. The interface conditions include the Beavers–Joseph–Saffman condition. Existence and uniqueness of the weak solution are obtained by a constructive approach. The analysis is valid for weak regularity interfaces.
Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity
Patrick Penel, Milan Pokorný (2004)
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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.
Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure.
Fan, Jishan, Ozawa, Tohru (2008)
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A note on the generalized energy inequality in the Navier-Stokes equations
Petr Kučera, Zdeněk Skalák (2003)
Applications of Mathematics
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We prove that there exists a suitable weak solution of the Navier-Stokes equation, which satisfies the generalized energy inequality for every nonnegative test function. This improves the famous result on existence of a suitable weak solution which satisfies this inequality for smooth nonnegative test functions with compact support in the space-time.