Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839729 | Nonlinear Analysis: Theory, Methods & Applications | 2015 | 14 Pages |
Abstract
The paper studies the existence of global attractor for the generalized double dispersion equation arising in elastic waveguide model utt−Δu−Δutt+Δ2u−Δut−Δg(u)=f(x)utt−Δu−Δutt+Δ2u−Δut−Δg(u)=f(x). The main result is concerned with nonlinearities g(u)g(u) with supercritical growth. In that case we construct a subclass GG of the limit solutions and show that it has a weak global attractor. Especially, in non-supercritical case, the weak topology becomes strong, the further regularity of the global attractor is obtained and the exponential attractor is established in natural energy space.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Zhijian Yang, Na Feng, To Fu Ma,