Combinatorial structure of Stokes regions of a simple singularity.
Jianming Yu (1996)
Mathematische Annalen
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Jianming Yu (1996)
Mathematische Annalen
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V.A. Solonnikov (1995)
Mathematische Annalen
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S.A. Nazarov, A. Novotny, K. Pileckas (1996)
Mathematische Annalen
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Hirokazu Iwashita (1989)
Mathematische Annalen
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Jens Frehse, Michael Ruzicka (1995)
Mathematische Annalen
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Michael Struwe (1995)
Mathematische Annalen
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Wolfgang Borchers, Tetsuro Miyakawa (1988)
Mathematische Annalen
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Hideo Kozono, Takayoshi Ogawa (1993)
Mathematische Annalen
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R. H. Dyer, D. E. Edmunds (1971)
Colloquium Mathematicae
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Claus Gerhardt (1979)
Mathematische Zeitschrift
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Michael Wiegner (2003)
Banach Center Publications
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Burda, Pavel, Novotný, Jaroslav, Šístek, Jakub
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We present analytical solution of the Stokes problem in 2D domains. This is then used to find the asymptotic behavior of the solution in the vicinity of corners, also for Navier-Stokes equations in 2D. We apply this to construct very precise numerical finite element solution.
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.
R. Temam (1978)
Recherche Coopérative sur Programme n°25
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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.