带有强阻尼和记忆项的Kirchhoff板方程的全局吸引子  

Global Attractors for a Kirchhoff-Type Plate Equation with StrongDamping and Memory

作　　者：刘润杰 

机构地区：[1]西北师范大学数学与统计学院,甘肃 兰州

出　　处：《应用数学进展》2024年第8期3600-3617,共18页Advances in Applied Mathematics

摘　　要：本文研究具有记忆项和强阻尼的 Kirchhoff 型板方程全局吸引子的存在性。 通过将先验估计和收 缩函数相结合的方法,证明了有界吸收集的存在性和半群的渐近紧性,最终得到了全局吸引子的 存在性。In this paper, we try to study the global attractors for a Kirchhoff-type plate equation with strong damping and memory. Consequently, we introduce to prove the existence of a bounded absorbing set and asymptotic compactness of the semigroup by combining the prior estimate with the contraction function. Ultimately, we obtain the existence of the global attractors.

关 键 词：板方程 Kirchhoff型 强阻尼 记忆项 全局吸引子 

分 类 号：O17[理学—数学]