Stationary Solutions to the Navier-Stokes Equations in Dimension Four.
Claus Gerhardt (1979)
Mathematische Zeitschrift
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Displaying similar documents to “On regularity of stationary solutions to the Navier-Stokes equation in 3D torus.”
Stationary Solutions to the Navier-Stokes Equations in Dimension Four.
Some remarks on variants of the Navier-Stokes equations
R. H. Dyer, D. E. Edmunds (1971)
Colloquium Mathematicae
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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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Higher order estimates in further dimensions for the solutions of Navier-Stokes equations
Michael Wiegner (2003)
Banach Center Publications
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Letter to the editor.
Chebotarev, A. Yu. (2002)
Sibirskij Matematicheskij Zhurnal
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Existence of regular solutions to the steady Navier-Stokes equations in bounded six-dimensional domains
Jens Frehse, Michael Růžička (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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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Existence of regular solutions to the stationary Navier-Stokes equations.
Jens Frehse, Michael Ruzicka (1995)
Mathematische Annalen
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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.
On the Qualitative Behavior of the Solutions to the 2-D Navier-Stokes Equation
M. Pulvirenti (2008)
Bollettino dell'Unione Matematica Italiana
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This talk, based on a research in collaboration with E. Caglioti and F.Rousset, deals with a modified version of the two-dimensional Navier-Stokes equation wich preserves energy and momentum of inertia. Such a new equation is motivated by the occurrence of different dissipation time scales. It is also related to the gradient flow structure of the 2-D Navier-Stokes equation. The hope is to understand intermediate asymptotics.
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.
Lagrangian approximations and weak solutions of the Navier-Stokes equations
Werner Varnhorn (2008)
Banach Center Publications
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The motion of a viscous incompressible fluid flow in bounded domains with a smooth boundary can be described by the nonlinear Navier-Stokes equations. This description corresponds to the so-called Eulerian approach. We develop a new approximation method for the Navier-Stokes equations in both the stationary and the non-stationary case by a suitable coupling of the Eulerian and the Lagrangian representation of the flow, where the latter is defined by the trajectories of the particles...
Non linear systems of the type of the stationary Navier-Stokes system.
M. Giaquinta, G. Modica (1982)
Journal für die reine und angewandte Mathematik
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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.
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.
Global attractor for the Navier-Stokes equations in a cylindrical pipe
Piotr Kacprzyk (2010)
Annales Polonici Mathematici
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Global existence of regular special solutions to the Navier-Stokes equations describing the motion of an incompressible viscous fluid in a cylindrical pipe has already been shown. In this paper we prove the existence of the global attractor for the Navier-Stokes equations and convergence of the solution to a stationary solution.