基尔霍夫型吊桥方程指数吸引子的存在性  

The Existence of Exponential Attractors for the Kirchhoff-type Suspension Bridge Equations

作　　者：贾澜 马巧珍 JIA Lan, MA Qiaozhen(College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gans)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《四川师范大学学报（自然科学版）》2018年第2期185-189,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(11561064和11361053);甘肃省自然科学基金(145RJZA112)

摘　　要：研究基尔霍夫型吊桥方程解的长时间动力学行为.先验证解半群的渐近紧性,进而运用所谓的加强的平坦性条件,在较弱的非线性项条件下,得到该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-time dynamical behavior of solutions for the Kirchhoff-type suspension bridge equations is discussed. Under a weaker condition of the nonlinearity,we prove the asymptotic compactness of semigroup firstly. Next,the existence of exponential attractors is shown by a new method of enhanced flattening property. Some known results are improved and extended.

关 键 词：吊桥方程 加强的平坦性条件 指数吸引子 

分 类 号：O175.29[理学—数学]