FINITE-DIMENSIONALITY OF ATTRACTORS ASSOCIATED WITH VON KARMAN PLATE EQUATIONS AND BOUNDARY DAMPING

Authors
LASIECKA I
Citation
I. Lasiecka, FINITE-DIMENSIONALITY OF ATTRACTORS ASSOCIATED WITH VON KARMAN PLATE EQUATIONS AND BOUNDARY DAMPING, Journal of differential equations, 117(2), 1995, pp. 357-389
Citations number
27
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of differential equations → ACNP
ISSN journal
00220396
Volume
117
Issue
2
Year of publication
1995
Pages
357 - 389
Database
ISI
SICI code
0022-0396(1995)117:2<357:FOAAWV>2.0.ZU;2-M
Abstract
Asymptotic behavior of solutions to a fully nonlinear von Karman syste m is considered. The existence of compact attractors in the presence o f nonlinear boundary damping is established. It is also shown that in the case of linear boundary dissipation, this attractor is of finite H ausdorff dimension (with explicit estimates of the dimension). (C) 199 5 Academic Press, Inc.