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.
Jens Frehse, Michael Růžička (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Y. Ebihara, L.A. Medeiros (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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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.
Chelkak, S., Koshelev, A., Oganesyan, L. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Zubelevich, Oleg (2005)
Lobachevskii Journal of Mathematics
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R. H. Dyer, D. E. Edmunds (1971)
Colloquium Mathematicae
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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.
Michael Wiegner (2003)
Banach Center Publications
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