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Well‐posedness for fractional Navier–Stokes equations in the largest critical spaces Ḃ ∞ , ∞ − ( 2 β − 1 ) ( R n )
Author(s) -
Yu Xinwei,
Zhai Zhichun
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1582
Subject(s) - mathematics , besov space , navier–stokes equations , supercritical fluid , mathematical analysis , interpolation space , functional analysis , compressibility , physics , biochemistry , chemistry , gene , thermodynamics
This note studies the well‐posedness of the fractional Navier–Stokes equations in some supercritical Besov spaces as well as in the largest critical spacesḂ ∞ , ∞ − ( 2 β − 1 )(R n) for β ∈ (1/2,1). Meanwhile, the well‐posedness for fractional magnetohydrodynamics equations in these Besov spaces is also studied. Copyright © 2012 John Wiley & Sons, Ltd.