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

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Chan, Chi Hin
Vasseur, Alexis
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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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Mathematics - Analysis of PDEs, 35B65, 76D03, 76D05
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