Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
470433 | Computers & Mathematics with Applications | 2014 | 7 Pages |
Abstract
This paper is concerned with a non-autonomous modified Swift–Hohenberg equation ut+Δ2u+2Δu+au+b|∇u|2+u3=g(x,t)ut+Δ2u+2Δu+au+b|∇u|2+u3=g(x,t). It is shown that a pullback attractor exists when its external force has exponential growth. Due to the nonlinear terms b|∇u|2b|∇u|2 and u3u3, the estimates are delicate. We overcome this difficulty by imposing the exponential growth condition on the external forcing term g(x,t)g(x,t).
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Sun Hye Park, Jong Yeoul Park,