带记忆的基尔霍夫型梁方程的全局吸引子

doi:10.6040/j.issn.1671-9352.0.2021.248

《山东大学学报(理学版)》 ›› 2022, Vol. 57 ›› Issue (4): 66-75.doi: 10.6040/j.issn.1671-9352.0.2021.248

• • 上一篇

带记忆的基尔霍夫型梁方程的全局吸引子

张盈,刘强强,马巧珍^*

西北师范大学数学与统计学院, 甘肃兰州 730070

发布日期:2022-03-29
作者简介:张盈(1996— ),女,硕士研究生,研究方向为无穷维动力系统. E-mail:2567005876@qq.com*通信作者简介:马巧珍(1971— ),女,博士,教授,博士生导师,研究方向为无穷维动力系统. E-mail:maqzh@nwnu.edu.cn
基金资助:
国家自然科学基金资助项目(11961059)

Global attractor of Kirchhoff-type beam equation with memory

ZHANG Ying, LIU Qiang-qiang, MA Qiao-zhen^*

College of Mathematice and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China

Published:2022-03-29

摘要/Abstract

摘要： 利用能量估计和收缩函数的方法,研究了具有线性记忆和非线性阻尼的基尔霍夫型梁方程解的长时间动力学行为,获得了弱拓扑空间中全局吸引子的存在性,部分推广了已有的一些结果。

关键词: 线性记忆, 全局吸引子, 有界吸收集, 收缩函数

Abstract: By means of energy estimation and contraction function, the long time dynamic behavior of Kirchhoff beam equations with linear memory and nonlinear damping is studied, and the existence of global attractor in weak topological space is obtained, which partially extends the existing results.

Key words: linear memory, global attractor, bounded absorbing set, contraction function

中图分类号:

O175.29

张盈,刘强强,马巧珍. 带记忆的基尔霍夫型梁方程的全局吸引子[J]. 《山东大学学报(理学版)》, 2022, 57(4): 66-75.

ZHANG Ying, LIU Qiang-qiang, MA Qiao-zhen. Global attractor of Kirchhoff-type beam equation with memory[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2022, 57(4): 66-75.

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带记忆的基尔霍夫型梁方程的全局吸引子

Global attractor of Kirchhoff-type beam equation with memory

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