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基尔霍夫型耦合吊桥方程指数吸引子的存在性

The Existence of Exponential Attractors for Kirchhoff-type Coupling Suspension Bridge Equations
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摘要 研究了基尔霍夫型耦合吊桥方程的长时间动力学行为.先验证解半群的渐近性,进而运用加强的平坦性条件,得到基尔霍夫型耦合吊桥方程指数吸引子的存在性,改进和推广了一些已有的结果. The long-term dynamic behavior of Kirchhoff-type coupling suspension bridge equation was studied in this paper.Firstly,the asymptotic behavior of the solution semigroup was verified.Then,the existence of exponential attractors for Kirchhoff-type coupling suspension bridge equation was obtained by using the so-called enhanced flatness condition thus some existing results were improved and generalized.
作者 刘强强 LIU Qiang-qiang(School of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)
机构地区 西北师范大学数学与统计学院
出处 《兰州文理学院学报（自然科学版）》 2019年第5期9-14,共6页 Journal of Lanzhou University of Arts and Science(Natural Sciences)
基金 国家自然科学基金(11561064)
关键词 基尔霍夫型耦合吊桥方程 有界吸收集 加强的平坦性条件 指数吸引子 Kirchhoff-type coupling suspension bridge equations bounded absorbing set enhanced flattening property exponential attractor
分类号 O175.29 [理学—基础数学]
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兰州文理学院学报（自然科学版）
2019年 第5期

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