Article ID Journal Published Year Pages File Type
840492 Nonlinear Analysis: Theory, Methods & Applications 2012 7 Pages PDF
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].

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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