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

Xunwu Yin | Zendy

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

Author(s) -

Xunwu Yin

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/184674

Subject(s) - mathematics , lorentz transformation , space (punctuation) , lorentz space , standard probability space , mathematical analysis , navier–stokes equations , weak solution , lebesgue integration , lp space , classical mechanics , banach space , compressibility , physics , linguistics , philosophy , thermodynamics

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(0,T;Lp,∞(R3)) for 2/q + 3/p=1, 3

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