Dimension of the global attractor for discretization of damped Sine-Gordonequation

Authors
Zhou, SF
Citation
Sf. Zhou, Dimension of the global attractor for discretization of damped Sine-Gordonequation, APPL MATH L, 12(1), 1999, pp. 95-100
Citations number
3
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
12
Issue
1
Year of publication
1999
Pages
95 - 100
Database
ISI
SICI code
0893-9659(199901)12:1<95:DOTGAF>2.0.ZU;2-S
Abstract
A more precise estimate on the dimension of the global attractor for discre tization of damped sine-Gordon equation with the periodic boundary conditio n is obtained. The gained Hausdorff dimension remains small for large dampi ng and is independent of the mesh sizes. (C) 1998 Elsevier Science Ltd. All rights reserved.