Remarks on the Regularity Criteria of Three-dimensional Navier-Stokes Equations in Margin Case

Remarks on the Regularity Criteria of Three-dimensional Navier-Stokes Equations in Margin Case

Year:    2011

Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 1 : pp. 70–82

Abstract

In the study of the regularity criteria for Leray weak solutions to three-dimensional Navier-Stokes equations, two sufficient conditions such that the horizontal velocity \tilde{u} satisfies \tilde{u}∈L^2(0,T;BMO(R^3)) or \tilde{u}∈ L^{2/1+r}(0,T; \dot{B}^r_{∞,∞}(R^3)) for 0 < r < 1 are considered.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v24.n1.5

Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 1 : pp. 70–82

Published online:    2011-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Regularity criteria

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