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)
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
