The resolution of the Navier-Stokes equations in anisotropic spaces

被引：2
|
作者：
Iftimie, D [1 ]
机构：
[1] Univ Rennes 1, IRMAR, F-35042 Rennes, France
来源：
REVISTA MATEMATICA IBEROAMERICANA | 1999年 / 15卷 / 01期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove global existence and uniqueness for solutions of the 3-dimensional Navier-Stokes equations with small initial data in spaces which are H-delta i in the i-th direction, delta(1)+ delta(2) + delta(3) = 1/2, -1/2 < delta(i) < 1/2 and in a space which is L-2 in the first two directions and B-1,2(1/2) in the third direction, where H and B denote the usual homogeneous Sobolev and Besov spaces.
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页码：1 / 36
页数：36
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