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Note on Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes equations

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Author(s)

Chuong Van Tran, Xinwei Yu

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Abstract

In this article we prove new regularity criteria of the Prodi-Serrin-Ladyzhenskaya type for the Cauchy problem of the three-dimensional Navier-Stokes equations. Our results improve the classical Lr(0,T;Ls) regularity criteria for both velocity and pressure by factors of certain nagative powers of the scaling invariant norm ||u||L3 and ||u||H1/2.
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Original languageEnglish
Article number011501
Number of pages10
JournalJournal of Mathematical Physics
Volume58
Issue number1
DOIs
StatePublished - 18 Jan 2017

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