Attractors for three-dimensional Navier-Stokes equations

被引:7
作者
Capinski, M [1 ]
Cutland, NJ [1 ]
机构
[1] UNIV HULL, DEPT PURE MATH & STAT, KINGSTON UPON HULL HU6 7RX, N HUMBERSIDE, ENGLAND
来源
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1997年 / 453卷 / 1966期
关键词
D O I
10.1098/rspa.1997.0129
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
For the three-dimensional Navier-Stokes equations we propose two new approaches to the notion of an attractor. They involve multi-valued semiflows constructed via the nonstandard framework used for solving the equations, where even in dimension three we have uniqueness of solution for the corresponding equation.
引用
收藏
页码:2413 / 2426
页数:14
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