Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707735 | Applied Mathematics Letters | 2015 | 6 Pages |
Abstract
We study the existence of exponential attractor for the Kirchhoff equations with strong nonlinear damping and supercritical nonlinearity utt−σ(‖∇u‖2)Δut−ϕ(‖∇u‖2)Δu+f(u)=h(x)utt−σ(‖∇u‖2)Δut−ϕ(‖∇u‖2)Δu+f(u)=h(x). The main result is that the nonlinearity f(u)f(u) is of supercritical growth. In this case we establish an exponential attractor in natural energy space by using a new method based on the weak quasi-stability estimates (rather than the strong one as usual).
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Zhijian Yang, Zhiming Liu,