Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 15, Issue -, Pages 239-245Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2013.08.002
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Funding
- Zhejiang Innovation Project [T200905]
- ZJNSF [R6090109]
- NSFC [10971197]
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Recently, Pokorny and Zhou proved that if parallel to u(3)parallel to(L infinity (0,T;L) (10/3) ((R3))) << 1 or parallel to del u(3)parallel to(L infinity(0,T;L) (30/19) ((R3))) << 1, then the weak solution u of the 3D Navier-Stokes equations is regular on R-3 x (0, T]. In this paper we remove the smallness assumptions by using a new approach which may be of independent interest and further application. (C) 2013 Elsevier Ltd. All rights reserved.
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