A Note on the Regularity Criterion of Weak Solutions of Navier‐Stokes Equations in Lorentz Space

Xunwu Yin

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: This paper is concerned with the regularity of Leray weak solutions to the 3D Navier‐Stokes equations in Lorentz space. It is proved that the weak solution is regular if the horizontal velocity denoted by ũ=(u1,u2,0) satisfies ũ(x,t)∈Lq(013,T;Lp,∞(R3)) for 2/q + 3/p=,

Date: 2012
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https://doi.org/10.1155/2012/184674

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:184674

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