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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Displaying similar documents to “Boundary partial regularity for the Navier-Stokes equations.”
On the regularity with respect to time of weak solutions of the Navier-Stokes equations
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.
The Navier-Stokes equation with inhomogeneous boundary conditions based on vorticity
Jiří Neustupa, Patrick Penel (2008)
Banach Center Publications
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We formulate a boundary value problem for the Navier-Stokes equations with prescribed u·n, curl u·n and alternatively (∂u/∂n)·n or curl²u·n on the boundary. We deal with the question of existence of a steady weak solution.
On the conditional regularity of the Navier-Stokes and related equations
Dongho Chae (2006)
Banach Center Publications
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We present regularity conditions for a solution to the 3D Navier-Stokes equations, the 3D Euler equations and the 2D quasigeostrophic equations, considering the vorticity directions together with the vorticity magnitude. It is found that the regularity of the vorticity direction fields is most naturally measured in terms of norms of the Triebel-Lizorkin type.
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.
On regularity of stationary solutions to the Navier-Stokes equation in 3D torus.
Zubelevich, Oleg (2005)
Lobachevskii Journal of Mathematics
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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 interior regularity criteria for weak solutions of the navier-stokes equations.
Shuji Takahashi (1990)
Manuscripta mathematica
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Some Remarks on the Boundary Conditions in the Theory of Navier-Stokes Equations
Chérif Amrouche, Patrick Penel, Nour Seloula (2013)
Annales mathématiques Blaise Pascal
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This article addresses some theoretical questions related to the choice of boundary conditions, which are essential for modelling and numerical computing in mathematical fluids mechanics. Unlike the standard choice of the well known non slip boundary conditions, we emphasize three selected sets of slip conditions, and particularly stress on the interaction between the appropriate functional setting and the status of these conditions.
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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The Stokes system in the incompressible case-revisited
Rainer Picard (2008)
Banach Center Publications
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The classical Stokes system is reconsidered and reformulated in a functional analytical setting allowing for low regularity of the data and the boundary. In fact the underlying domain can be any non-empty open subset Ω of ℝ³. A suitable solution concept and a corresponding solution theory is developed.
On the regularity of the stationary Navier-Stokes equations
Jens Frehse, Michael Růžička (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Regularity properties of the attractor to the Navier-Stokes equations
Piotr Kacprzyk (2010)
Applicationes Mathematicae
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Existence of a global attractor for the Navier-Stokes equations describing the motion of an incompressible viscous fluid in a cylindrical pipe has been shown already. In this paper we prove the higher regularity of the attractor.