Pullback attractor for a non-autonomous modified Swift-Hohenberg equation

作者：Park Sun Hye^*; Park Jong Yeoul

来源：Computers & Mathematics with Applications, 2014, 67(3): 542-548.

DOI：10.1016/j.camwa.2013.11.011

• A modified Swift-Hohenberg equation
• Pullback attractor
• Asymptotic compactness

This paper is concerned with a non-autonomous modified Swift Hohenberg equation u(t) + Delta(2)u + 2 Delta u + au + b vertical bar del u vertical bar(2) + u(3) = g(x, t). It is shown that a pullback attractor exists when its external force has exponential growth. Due to the nonlinear terms b vertical bar del u vertical bar(2) and u(3), the estimates are delicate. We overcome this difficulty by imposing the exponential growth condition on the external forcing term g(x, t).

• 出版日期2014-2