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
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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.
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页数：6
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