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Zbl 1198.35175
Chan, Chi Hin; Vasseur, Alexis
Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations. (English)
[J] Methods Appl. Anal. 14, No. 2, 197-212 (2007). ISSN 1073-2772

The authors consider a Log improvement of Prodi-Serrin criterion for global regularity solutions to Navier-Stokes equations in the space, provided the exponents in the Prodi-Serrin criterion are equal to five. The conclusion is that any weak solution to the system satisfying appropriate hypothesis must be smooth for any time and location.
[Mariano Rodriguez Ricard (La Habana)]

MSC 2000:: *35Q30 Stokes and Navier-Stokes equations
35B65 Smoothness of solutions of PDE
76D03 Existence, uniqueness, and regularity theory
76D05 Navier-Stokes equations (fluid dynamics)
35B45 A priori estimates

Keywords: Navier-Stokes equations; regularity criterion; a priori estimates; Prodi-Serrin criterion

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