带有记忆项的Kirchhoff型波方程的时间依赖全局吸引子OA
Time-Dependent Global Attractor for Kirchhoff-Type Wave Equations with Memory Terms
考虑一类含记忆项、非局部强阻尼及非线性扰动的Kirchhoff型波方程的时间依赖全局吸引子的存在性问题.首先,给出该问题解的适定性结果;其次,利用能量估计得到该动力系统在相应解空间中拉回吸收集的存在性;最后,利用收缩函数方法证明其过程的渐近性质,从而确定时间依赖全局吸引子的存在性.
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.
周立鑫;孟凤娟;刘存才
苏州科技大学数学科学学院,江苏苏州 215009江苏理工学院数理学院,江苏常州 213001江苏理工学院数理学院,江苏常州 213001
数理科学
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
Kirchhoff-type wave equationmemory termnonlocal strong dampingcontraction functiontime-dependent global attractor
《吉林大学学报（理学版）》 2026 (3)
483-497,15
国家自然科学基金(批准号:117012301202643112442050)、江苏高校"青蓝工程"和中吴创新团队项目.
评论