带有时间依赖阻尼的Kirchhoff型波方程的拉回吸引子
Pullback Attractors for Kirchhoff-Type Wave Equation with Time-Dependent Damping
DOI: 10.12677/AAM.2025.143132, PDF,   
作者: 苏 洁：四川化工职业技术学院基础教学部，四川 泸州
关键词: 收缩函数；拉回吸引子；时间依赖阻尼；Kirchhoff波方程；Contraction Function； Pullback Attractor； Time-Dependent Damping； Kirchhoff Wave Equation
摘要: 对于带有时间依赖阻尼的 Kirchhoff 型波方程, 本文研究了其解的长时间行为. 运用收缩函数的方法 验证了过程的渐近紧性, 得到了拉回吸引子的存在性。
Abstract: In this paper, we are concerned with the long-time behavior of solutions in the time- dependent functional space for the Kirchhoff wave equation with strong damping and nonlinear perturbations. The existence of pullback attractor is achieved by using the contraction function method to verify the asymptotic compactness of the process.
文章引用：苏洁. 带有时间依赖阻尼的Kirchhoff型波方程的拉回吸引子[J]. 应用数学进展, 2025, 14(3): 467-482. https://doi.org/10.12677/AAM.2025.143132

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