Existence of regular solutions to the stationary Navier-Stokes equations.
Jens Frehse, Michael Ruzicka (1995)
Mathematische Annalen
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Jens Frehse, Michael Ruzicka (1995)
Mathematische Annalen
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Chelkak, S., Koshelev, A., Oganesyan, L. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Claus Gerhardt (1979)
Mathematische Zeitschrift
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Zubelevich, Oleg (2005)
Lobachevskii Journal of Mathematics
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Hirokazu Iwashita (1989)
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V.A. Solonnikov (1995)
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Jens Frehse, Michael Růžička (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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R. H. Dyer, D. E. Edmunds (1971)
Colloquium Mathematicae
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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.
Reinhard Farwig (1992)
Mathematische Zeitschrift
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S.A. Nazarov, A. Novotny, K. Pileckas (1996)
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Wolfgang Borchers, Tetsuro Miyakawa (1988)
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Michael Wiegner (2003)
Banach Center Publications
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Chebotarev, A. Yu. (2002)
Sibirskij Matematicheskij Zhurnal
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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.