Weak in Space, Log in Time Improvement of the Lady{ž}enskaja-Prodi-Serrin Criteria

Details Weak in Space, Log in Time Improvement of the Lady{ž}enskaja-Prodi-Serrin Criteria Weak in Space, Log in Time Improvement of the Lady{ž}enskaja-Prodi-Serrin Criteria

2009-12-15

arxiv.org/abs/0912.2969v1

Mathematics

Analysis of PDEs

14 pages, to appear

Scientific paper

In this article we present a Lady{\v{z}}enskaja-Prodi-Serrin Criteria for
regularity of solutions for the Navier-Stokes equation in three dimensions
which incorporates weak $L^p$ norms in the space variables and log improvement
in the time variable.

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