On steady compressible Navier-Stokes equations in plane domains with corners.
S.A. Nazarov, A. Novotny, K. Pileckas (1996)
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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R. H. Dyer, D. E. Edmunds (1971)
Colloquium Mathematicae
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Jens Frehse, Michael Ruzicka (1995)
Mathematische Annalen
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Jiří Neustupa, Patrick Penel (2008)
Banach Center Publications
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We formulate a boundary value problem for the Navier-Stokes equations with prescribed u·n, curl u·n and alternatively (∂u/∂n)·n or curl²u·n on the boundary. We deal with the question of existence of a steady weak solution.
Wolfgang Borchers, Tetsuro Miyakawa (1988)
Mathematische Annalen
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Michael Wiegner (2003)
Banach Center Publications
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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.
Michael Struwe (1995)
Mathematische Annalen
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Jishan Fan, Xuanji Jia, Yong Zhou (2019)
Applications of Mathematics
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This paper proves a logarithmic regularity criterion for 3D Navier-Stokes system in a bounded domain with the Navier-type boundary condition.
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.
V. Solonnikov (1983)
Banach Center Publications
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Crispo, F., Maremonti, P. (2004)
Zapiski Nauchnykh Seminarov POMI
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Jianming Yu (1996)
Mathematische Annalen
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Claus Gerhardt (1979)
Mathematische Zeitschrift
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Zujin Zhang, Weijun Yuan, Yong Zhou (2019)
Applications of Mathematics
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We review the developments of the regularity criteria for the Navier-Stokes equations, and make some further improvements.