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Uniform attractors for a nonautonomous extensible plate equation with a strong damping
Authors:Baowei Feng  Xin‐Guang Yang  Yuming Qin
Institution:1. Faculty of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, China;2. College of Mathematics and Information Science, Henan Normal University, Xinxiang, China;3. Department of Applied Mathematics, Donghua University, Shanghai, China
Abstract:In this paper, we study the long‐time dynamics of solutions to a nonlinear nonautonomous extensible plate equation with a strong damping. Under some suitable assumptions on the initial data, the nonlinear term and external force, we establish the existence of global solutions that generate a family of processes for the problem and obtain uniform attractors corresponding to strong and weak symbol spaces in a bounded domain urn:x-wiley:mma:media:mma4239:mma4239-math-0001. Copyright © 2016 John Wiley & Sons, Ltd.
Keywords:plate equation  strong damping  uniform attractors
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