Stationary Solutions to the Navier-Stokes Equations in Dimension Four.
Claus Gerhardt (1979)
Mathematische Zeitschrift
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Displaying similar documents to “On regularity of stationary solutions to the Navier-Stokes equation in 3D torus.”
Stationary Solutions to the Navier-Stokes Equations in Dimension Four.
Some remarks on the Navier-Stokes equations with regularity in one direction
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.
Some remarks on variants of the Navier-Stokes equations
R. H. Dyer, D. E. Edmunds (1971)
Colloquium Mathematicae
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A logarithmic regularity criterion for 3D Navier-Stokes system in a bounded domain
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.
On the regularity with respect to time of weak solutions of the Navier-Stokes equations
K. K. Golovkin, A. Krzywicki (1967)
Colloquium Mathematicae
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On ratio improvement of Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes system
Zujin Zhang, Chupeng Wu, Yong Zhou (2019)
Czechoslovak Mathematical Journal
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This paper concerns improving Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes system, in the sense of multiplying certain negative powers of scaling invariant norms.
Higher order estimates in further dimensions for the solutions of Navier-Stokes equations
Michael Wiegner (2003)
Banach Center Publications
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Letter to the editor.
Chebotarev, A. Yu. (2002)
Sibirskij Matematicheskij Zhurnal
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Existence of regular solutions to the steady Navier-Stokes equations in bounded six-dimensional domains
Jens Frehse, Michael Růžička (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On the regularity of the stationary Navier-Stokes equations
Jens Frehse, Michael Růžička (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Existence of regular solutions to the stationary Navier-Stokes equations.
Jens Frehse, Michael Ruzicka (1995)
Mathematische Annalen
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Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity
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.