| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 841021 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 22 Pages |
Abstract
This paper studies the longtime behavior of solutions to the elastic waveguide model in RN:utt−Δu−Δutt+Δ2u−Δut+ut+u−Δg(x,u)=f(x). It proves that when the space dimension N≤5N≤5, under rather mild conditions on gg and ff the related solution semigroup possesses in phase space with low regularity Xδ=(Ḣ−2∩H1+δ)×(Ḣ−2∩Hδ), with 0<δ≤10<δ≤1, a global attractor which is connected.
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Authors
Zhijian Yang,