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arXiv · 0705.3659

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

Chi Hin Chan·Alexis Vasseur
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Abstract

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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Chi Hin Chan, Alexis Vasseur. 2007-05-24. Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations. https://arxiv.org/abs/0705.3659

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