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

页码：2413 / 2426

页数：14

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