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A regularity criterion for the solutions of 3D Navier–Stokes equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2008 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 346, pages 336-339 (issn: 0022-247X, Copyright policy )Funded by:ARC | Large Time Behavior of So...
Authors: Xicheng Zhang; Xicheng Zhang;

doi: 10.1016/j.jmaa.2008.05.027

A regularity criterion for the solutions of 3D Navier–Stokes equations

Abstract

AbstractIn terms of two partial derivatives of any two components of velocity fields, we give a new criterion for the regularity of solutions of the Navier–Stokes equation in R3. More precisely, let u=(u1,u2,u3) be a weak solution in (0,T)×R3. Then u becomes a classical solution if any two functions of ∂1u1, ∂2u2 and ∂3u3 belong to Lθ(0,T;Lr(R3)) provided with 2θ+3r=2, 32

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Keywords

3D Navier–Stokes equation, Applied Mathematics, Regularity criterion, Analysis

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
16
Top 10%
Top 10%
Average
hybrid