On the large time behavior of solutions of fourth order parabolic equations and ε-entropy of their attractors

被引：20

作者：

Efendiev, M. A. ^{[1
]}

Peletier, L. A.

机构：

[1] Tech Univ Munich, GSF, Ctr Math Sci, D-85747 Garchung Munich, Germany

[2] Leiden Univ, Math Inst, NL-2300 RA Leiden, Netherlands

[3] CWI, NL-1090 GB Amsterdam, Netherlands

来源：

COMPTES RENDUS MATHEMATIQUE | 2007年 / 344卷 / 02期

关键词：

D O I：

10.1016/j.crma.2006.10.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the large time behavior of solutions of a class of fourth order parabolic equations defined on unbounded domains. Specific examples of the equations we study are the Swift-Hohenberg equation and the Extended Fisher-Kolmogorov equation. We establish the existence of a global attractor in a local topology. Since the dynamics is infinite dimensional, we use the Kolmogorov epsilon-entropy as a measure, deriving a sharp upper and lower bound.

引用

页码：93 / 96

页数：4

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