非线性可拉伸梁方程的指数吸引子

吉林大学学报(理学版)

非线性可拉伸梁方程的指数吸引子

贾澜, 马巧珍

西北师范大学数学与统计学院, 兰州 730070

收稿日期:2016-06-12 出版日期:2017-07-26 发布日期:2017-07-13
通讯作者: 马巧珍 E-mail:maqzh@nwnu.edu.cn

Exponential Attractors for Nonlinear Extensible Beam Equation

JIA Lan, MA Qiaozhen

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received:2016-06-12 Online:2017-07-26 Published:2017-07-13
Contact: MA Qiaozhen E-mail:maqzh@nwnu.edu.cn

摘要/Abstract

摘要： 用加强的平坦性条件, 讨论非线性可拉伸梁方程的长时间动力学行为. 在非线性项条件减弱的情形下, 先验证解半群的渐近紧性, 进而运用加强的平坦性条件, 得到了更一般的具有强阻尼的非线性可拉伸梁方程指数吸引子的存在性.

关键词: 加强的平坦性条件, 指数吸引子, 梁方程

Abstract: We investigated the longtime dynamic behavior of the nonlinear extensible beam equations by enhanced flattening property. Under the weaker condition of the nonlinearity, we first verified the asymptotic compactness of solution semigroup, and then used the enhanced flattening property, we obtained the existence of exponential attractors for the general nonlinear extensible beam equations with strong damping.

Key words: beam equation, enhanced flattening property, exponential attractor

中图分类号:

O175.29

贾澜, 马巧珍. 非线性可拉伸梁方程的指数吸引子[J]. 吉林大学学报(理学版), 2017, 55(04): 839-844.

JIA Lan, MA Qiaozhen. Exponential Attractors for Nonlinear Extensible Beam Equation[J]. Journal of Jilin University Science Edition, 2017, 55(04): 839-844.