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.
作者
贾澜
马巧珍
JIA Lan, MA Qiaozhen(College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gans)
出处
《四川师范大学学报（自然科学版）》
CAS
北大核心
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)
关键词
吊桥方程
加强的平坦性条件
指数吸引子
suspension bridge equations
enhanced flattening property
exponential attractor
