The resolution of the Navier-Stokes equations in anisotropic spaces.

Dragos Iftimie

Displaying similar documents to “The resolution of the Navier-Stokes equations in anisotropic spaces.”

A generalization of a theorem by Kato on Navier-Stokes equations.

Marco Cannone (1997)

Revista Matemática Iberoamericana

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We generalize a classical result of T. Kato on the existence of global solutions to the Navier-Stokes system in C([0,∞);L(R)). More precisely, we show that if the initial data are sufficiently oscillating, in a suitable Besov space, then Kato's solution exists globally. As a corollary to this result, we obtain a theory of existence of self-similar solutions for the Navier-Stokes equations.

On the regular solutions for some classes of Navier-Stokes equations

Y. Ebihara, L.A. Medeiros (1988)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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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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The 3D navier-stokes equations seen as a perturbation of the 2D navier-stokes equations

Dragoş Iftimie (1999)

Bulletin de la Société Mathématique de France

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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.

Higher order estimates in further dimensions for the solutions of Navier-Stokes equations

Michael Wiegner (2003)

Banach Center Publications

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Strong solutions of the steady nonlinear Navier-Stokes system in domains with exits to infinity

K. Pileckas (1997)

Rendiconti del Seminario Matematico della Università di Padova

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