Unbounded one-dimensional global attractor for the damped sine-Gordon equation

Authors
Qian, M Qin, WX Wang, GX Zhu, S
Citation
M. Qian et al., Unbounded one-dimensional global attractor for the damped sine-Gordon equation, J NONLIN SC, 10(4), 2000, pp. 417-432
Citations number
16
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF NONLINEAR SCIENCE
ISSN journal
09388974 → ACNP
Volume
10
Issue
4
Year of publication
2000
Pages
417 - 432
Database
ISI
SICI code
0938-8974(200007/08)10:4<417:UOGAFT>2.0.ZU;2-D
Abstract
The dynamical behavior of the damped sine-Gordon equation with homogeneous Neumann boundary condition is studied. It is shown that the equation has an unbounded one-dimensional global attractor in a suitable functional space when the "damping" and the "diffusing" are not very small.