Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations

Details Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations

2007-05-24

arxiv.org/abs/0705.3659v1

Mathematics

Analysis of PDEs

Scientific paper

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 regualrity holds under the condition that |u|^5/ log
(1+|u|) is integrable in space time variables.

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