APPROXIMATION OF ATTRACTORS BY ALGEBRAIC OR ANALYTIC SETS

被引：13

作者：

FOIAS, C

TEMAM, R

机构：

[1] INDIANA UNIV,INST APPL MATH & SCI COMP,BLOOMINGTON,IN 47405

[2] UNIV PARIS 11,ANAL NUMER LAB,F-91405 ORSAY,FRANCE

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1994年 / 25卷 / 05期

关键词：

ATTRACTOR; ABSORBING SETS; HYPERGEOMETRIC FUNCTION; POLYNOMIAL MAP;

D O I：

10.1137/S0036141091224552

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work the authors introduce a method for approximating the global attractor of dissipative differential equations (including the two-dimensional Navier-Stokes equations) based on the time analyticity (in a fixed infinite band) of all solutions lying on the attractor. In particular, three families of polynomial maps are constructed with the property that, under some suitable conditions, their zeros approximate the attractor.

引用

页码：1269 / 1302

页数：34

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