Regularity of solutions to the Navier-Stokes equation.
Chae, Dongho, Choe, Hi-Jun (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Chae, Dongho, Choe, Hi-Jun (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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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.
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.
R. H. Dyer, D. E. Edmunds (1971)
Colloquium Mathematicae
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Michael Wiegner (2003)
Banach Center Publications
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Geissert, M., Hieber, M.
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Luo, Yuwen (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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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.
Jens Frehse, Michael Růžička (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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