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Uniform attractor for non‐autonomous Boussinesq‐type equation with critical nonlinearity
Authors:Xinguang Yang  Zhaohui Fan  Ke Li
Institution:1. College of Mathematics and Information Science, Henan Normal University, Xinxiang, China;2. School of Mathematics and Statistics, ZhengZhou University, ZhengZhou, China
Abstract:In this paper, we study the longtime dynamics of the non‐autonomous Boussinesq‐type equation with critical nonlinearity, and time‐dependent external forcing, which is translation bounded but not translation compact. We prove the existence of a uniform attractor in urn:x-wiley:mma:media:mma3753:mma3753-math-0001. Copyright © 2015 John Wiley & Sons, Ltd.
Keywords:Boussinesq‐type equation  uniform attractor  critical nonlinearity
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