Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840492 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 7 Pages |
Abstract
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].
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Authors
Marco Cannone, Gang Wu,