On type I singularities of the local axi-symmetric solutions of the Navier-Stokes equations. (English) Zbl 1180.35002

Seregin, G.; Šverák, V.

Commun. Partial Differ. Equations 34, No. 2, 171-201 (2009).

Local regularity of axial symmetric solutions to the Navier-Stokes equations is studied. It is shown that under certain natural assumptions there are no singularities of type I.

Reviewer: Oleg Dementiev (Chelyabinsk)

MSC:

35-02	Research exposition (monographs, survey articles) pertaining to partial differential equations
35Q30	Navier-Stokes equations
76D05	Navier-Stokes equations for incompressible viscous fluids
76D03	Existence, uniqueness, and regularity theory for incompressible viscous fluids

Keywords:

axial symmetry; Navier-Stokes equations

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