Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 75, Issue 9, Pages 3754-3760Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2012.01.029
Keywords
Navier-Stokes equations; Global well-posedness; Fourier-Herz spaces
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Funding
- National Natural Science Foundation of China (NSFC) [11101405]
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We prove the global well-posedness for the 3D Navier-Stokes equations in critical Fourier-Herz spaces, by making use of the Fourier localization method and the Littlewood-Paley theory. The advantage of working in Fourier-Herz spaces lies in that they are more adapted than classical Besov spaces, for estimating the bilinear paraproduct of two distributions with the summation of their regularity indexes exactly zero. Our result is an improvement of a recent theorem by Lei and Lin (2011) [10]. (C) 2012 Elsevier Ltd. All rights reserved.
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