On regularity of stationary solutions to the Navier-Stokes equation in 3D torus.
Zubelevich, Oleg (2005)
Lobachevskii Journal of Mathematics
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Displaying similar documents to “Stationary Solutions to the Navier-Stokes Equations in Dimension Four.”
On regularity of stationary solutions to the Navier-Stokes equation in 3D torus.
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Some remarks on variants of the Navier-Stokes equations
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Letter to the editor.
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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.
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Piotr Kacprzyk (2010)
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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.
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M.D. Gunzburger, J.S. Peterson (1983)
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This paper proves a logarithmic regularity criterion for 3D Navier-Stokes system in a bounded domain with the Navier-type boundary condition.
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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.