Global Well-Posedness and Long Time Decay of Fractional Navier-Stokes Equations in Fourier-Besov Spaces

Weiliang Xiao, Jiecheng Chen, Dashan Fan and Xuhuan Zhou

Abstract and Applied Analysis, 2014, vol. 2014, 1-11

Abstract:

We study the Cauchy problem of the fractional Navier-Stokes equations in critical Fourier-Besov spaces . Some properties of Fourier-Besov spaces have been discussed, and we prove a general global well-posedness result which covers some recent works in classical Navier-Stokes equations. Particularly, our result is suitable for the critical case . Moreover, we prove the long time decay of the global solutions in Fourier-Besov spaces.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:463639

DOI: 10.1155/2014/463639

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