Remarks on the smoothness of the solutions of the 3-D Navier-Stokes equations.
Beirão da Veiga, H. (1997)
Portugaliae Mathematica
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Displaying similar documents to “Local and global existence and behaviour for of solutions of the Navier-Stokes equations”
Remarks on the smoothness of the solutions of the 3-D Navier-Stokes equations.
A remark on the uniqueness problem for the weak solutions of Navier-Stokes equations
Francis Ribaud (2002)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Remark on regularity of weak solutions to the Navier-Stokes equations.
Skalák, Zdeněk, Kučera, Petr (2001)
Commentationes Mathematicae Universitatis Carolinae
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Remark on regularity of weak solutions to the Navier-Stokes equations
Zdeněk Skalák, Petr Kučera (2001)
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Some results on regularity of weak solutions to the Navier-Stokes equations published recently in [3] follow easily from a classical theorem on compact operators. Further, weak solutions of the Navier-Stokes equations in the space are regular.
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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.