The concept of minimal attractor and maximal attractors of partial differential equations of the Kuramoto-Sivashinsky type

被引：0

作者：

Il'yashenko, Ju. S. ^{[1
]}

机构：

[1] Moscow State Univ, Dept Math & Mech, Moscow 117234, Ussr, Russia

来源：

CHAOS | 1991年 / 1卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The first part of the paper is devoted to the definition of the smallest set that may be regarded as the attractor of a dissipative system. Simple properties of this set are discussed. In the second part some geometrical facts concerning attractors of partial differential equations are revealed. They include well-known results for the two-dimensional Navier-Stokes equation and new ones for the Kuramoto-Sivashinsky and similar equations.

引用

页数：6

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