Title of article
Global attractor of a modified Swift–Hohenberg equation in image spaces Original Research Article
Author/Authors
Lingyu Song، نويسنده , , Yindi Zhang، نويسنده , , Tian Ma، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
9
From page
183
To page
191
Abstract
In this paper, by using an iteration procedure, regularity estimates for the linear semigroups and a classical existence theorem of global attractor, we prove that a modified Swift–Hohenberg equation ut=−Δ2u+g(u)ut=−Δ2u+g(u) possesses a global attractor in Sobolev space HkHk for all k≥0k≥0, which attracts any bounded subset of Hk(Ω)Hk(Ω) in the HkHk-norm.
Keywords
The semigroup , global attractor , Modified Swift–Hohenberg equation , The regularity of attractor
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2010
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
862082
Link To Document