Arbitrarily accurate approximate inertial manifolds of fixed dimension

被引：4

作者：

Robinson, JC

机构：

[1] Dept. Appl. Math. and Theor. Phys., Cambridge CB3 9EW, Silver Street

来源：

PHYSICS LETTERS A | 1997年 / 230卷 / 5-6期

关键词：

D O I：

10.1016/S0375-9601(97)00245-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By employing an embedding result due to Mane, and its recent strengthening due to Foias and Olson it is shown that a global attractor with finite fractal (box counting) dimension d lies within an arbitrarily small neighbourhood of a smooth graph over the space spanned by the first [[2d + 1]] Fourier-Galerkin modes. The proof is, however, nonconstructive. (C) 1997 Elsevier Science B.V.

引用

页码：301 / 304

页数：4

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