吉林大学学报（理学版）2026，Vol.64Issue(3)：483-497,15.DOI:10.13413/j.cnki.jdxblxb.2025228
带有记忆项的Kirchhoff型波方程的时间依赖全局吸引子
Time-Dependent Global Attractor for Kirchhoff-Type Wave Equations with Memory Terms
摘要
Abstract
We considered the existence of time-dependent global attractors for a class of Kirchhoff-type wave equations with memory terms,nonlocal strong damping,and nonlinear perturbations.Firstly,we gave the well-posedness result of the solution to the problem.Secondly,we obtained the existence of a pullback absorbing set for the dynamical system in the corresponding solution space by using energy estimates.Finally,we proved the asymptotic properties of its process by using the method of contraction functions,thereby the existence of the time-dependent global attractor was established.关键词
Kirchhoff型波方程/记忆项/非局部强阻尼/收缩函数/时间依赖全局吸引子Key words
Kirchhoff-type wave equation/memory term/nonlocal strong damping/contraction function/time-dependent global attractor分类
数理科学引用本文复制引用
周立鑫,孟凤娟,刘存才..带有记忆项的Kirchhoff型波方程的时间依赖全局吸引子[J].吉林大学学报（理学版）,2026,64(3):483-497,15.基金项目
国家自然科学基金(批准号:11701230 （）
12026431 （）
12442050)、江苏高校"青蓝工程"和中吴创新团队项目. （）
