Chan, Chi Hin; Vasseur, Alexis Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations. (English) Zbl 1198.35175 Methods Appl. Anal. 14, No. 2, 197-212 (2007). 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. Reviewer: Mariano Rodriguez Ricard (La Habana) Cited in 29 Documents MSC: 35Q30 Navier-Stokes equations 35B65 Smoothness and regularity of solutions to PDEs 76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids 76D05 Navier-Stokes equations for incompressible viscous fluids 35B45 A priori estimates in context of PDEs Keywords:Navier-Stokes equations; regularity criterion; a priori estimates; Prodi-Serrin criterion PDFBibTeX XMLCite \textit{C. H. Chan} and \textit{A. Vasseur}, Methods Appl. Anal. 14, No. 2, 197--212 (2007; Zbl 1198.35175) Full Text: DOI arXiv Euclid