Probabilistic analysis of singularities for the 3-D Navier-Stokes equations
Flandoli, Franco, Romito, Marco
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Displaying similar documents to “Probabilistic analysis of singularities for the 3D Navier-Stokes equations”
Probabilistic analysis of singularities for the 3-D Navier-Stokes equations
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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.
Global attractor for the Navier-Stokes equations in a cylindrical pipe
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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.
On regularity of stationary solutions to the Navier-Stokes equation in 3D torus.
Zubelevich, Oleg (2005)
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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.
Some remarks on variants of the Navier-Stokes equations
R. H. Dyer, D. E. Edmunds (1971)
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Higher order estimates in further dimensions for the solutions of Navier-Stokes equations
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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.