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, issue 1

Abstract: We study the Cauchy problem of the fractional Navier‐Stokes equations in critical Fourier‐Besov spaces FB˙p,q123-β+/p′. 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 β = 1/2. Moreover, we prove the long time decay of the global solutions in Fourier‐Besov spaces.

Date: 2014
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https://doi.org/10.1155/2014/463639

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:463639

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