Log Improvement of the Prodi-Serrin Criteria for Navier-Stokes Equations

Chi Hin Chan, Alexis Vasseur
2007 Methods and Applications of Analysis  
This article is devoted to a Log improvement of Prodi-Serrin criterion for global regularity to solutions to Navier-Stokes equations in dimension 3. It is shown that the global regularity holds under the condition that |u| 5 /(log(1+|u|)) is integrable in space time variables.
doi:10.4310/maa.2007.v14.n2.a5 fatcat:ege3eulmtzfennz7b75lzae5w4