一类具有强阻尼的Kirchhoff型方程整体解的长时间渐近行为

兰州理工大学学报 ›› 2021, Vol. 47 ›› Issue (2): 163-167.

一类具有强阻尼的Kirchhoff型方程整体解的长时间渐近行为

牛丽芳^*, 卫钱瑞

太原理工大学数学学院, 山西太原 030024

收稿日期:2019-10-17 出版日期:2021-04-28 发布日期:2021-05-11
通讯作者: 牛丽芳(1980-),女,山西晋城人,副教授.Email:niulifangfly@163.com
基金资助:
山西省自然科学基金(201801D121016)

Existence of global attractors for a kind of Kirchhoff type wave equation with strong damping

NIU Li-fang, WEI Qian-rui

College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China

Received:2019-10-17 Online:2021-04-28 Published:2021-05-11

摘要/Abstract

摘要： 研究了一类具有临界增长指数的强阻尼Kirchhoff型波动方程,在给定的Sobolve空间中,利用Galerkin方法和算子半群理论证明了系统整体解全局吸引子的存在性.

关键词: Galerkin方法, Kirchhoff型波动方程, 全局吸引子

Abstract: Study a class of strongly damped Kirchhoff wave equations with critical growth exponent. In a given Sobolve space, the existence of global attractors for global solutions of the system is proved by using Galerkin method and operator semi-group theory.

Key words: Galerkin methods, Kirchhoff type wave equation, global attractor

中图分类号:

O193

牛丽芳, 卫钱瑞. 一类具有强阻尼的Kirchhoff型方程整体解的长时间渐近行为[J]. 兰州理工大学学报, 2021, 47(2): 163-167.

NIU Li-fang, WEI Qian-rui. Existence of global attractors for a kind of Kirchhoff type wave equation with strong damping[J]. Journal of Lanzhou University of Technology, 2021, 47(2): 163-167.

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