Well-posedness for fractional Navier-Stokes equations in the largest critical spaces (B)over dot∞∞-(2β-1)(Rn)

被引：30
作者：
Yu, Xinwei [1 ]
Zhai, Zhichun [1 ]
机构：
[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2012年 / 35卷 / 06期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Navier-Stokes equations; magnetohydrodynamics equations; well-posedness; Besov spaces; REGULARITY CRITERIA; ILL-POSEDNESS; INEQUALITY; LP;
D O I：
10.1002/mma.1582
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This note studies the well-posedness of the fractional NavierStokes equations in some supercritical Besov spaces as well as in the largest critical spaces ?8,8-(2 beta-1)(Rn) for beta???(1/2,1). Meanwhile, the well-posedness for fractional magnetohydrodynamics equations in these Besov spaces is also studied. Copyright (c) 2012 John Wiley & Sons, Ltd.
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页码：676 / 683
页数：8
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