带有非局部强阻尼的Kirchhoff型波方程的时间依赖全局吸引子  

The time-dependent global attractors for Kirchhoff-type wave equation with strong nonlocal damping

作　　者：苏洁 汪璇 SU Jie;WANG Xuan(Department of Basic Teaching,Sichuan Vocational College of Chemical Technology,Luzhou 646099,China;College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]四川化工职业技术学院基础教学部,四川泸州646099 [2]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《中山大学学报（自然科学版）（中英文）》2023年第4期165-177,共13页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金(11761062;11961059;12061062)。

摘　　要：对于带有非局部强阻尼和非线性扰动的Kirchhoff型波方程,研究了其在时间依赖空间中解的长时间行为.运用收缩函数的方法验证了过程的渐近紧性,得到了时间依赖全局吸引子的存在性.The long-time behavior of solutions in the time-dependent functional space for the Kirchhoff-type wave equation with strong nonlocal damping and nonlinear perturbations are concerned.The existence of time-dependent global attractor is achieved by using the contraction function method to verify the asymptotic compactness of the process.

关 键 词：非局部强阻尼 Kirchhoff型波方程 收缩函数 时间依赖全局吸引子 

分 类 号：O175.29[理学—数学]