Existence of regular solutions to the stationary Navier-Stokes equations.
Jens Frehse, Michael Ruzicka (1995)
Mathematische Annalen
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Existence of regular solutions to the stationary Navier-Stokes equations.
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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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S.A. Nazarov, A. Novotny, K. Pileckas (1996)
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Letter to the editor.
Chebotarev, A. Yu. (2002)
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On the Qualitative Behavior of the Solutions to the 2-D Navier-Stokes Equation
M. Pulvirenti (2008)
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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.