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
DOI: 10.12677/AAM.2024.138343, PDF,    国家自然科学基金支持
作者: 刘润杰：西北师范大学数学与统计学院，甘肃 兰州
关键词: 板方程；Kirchhoff型；强阻尼；记忆项；全局吸引子；Plate Equation； Kirchhoff-Type； Strong Damping； Memory Term； Global Attractors
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。
Abstract: 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.
文章引用：刘润杰. 带有强阻尼和记忆项的Kirchhoff板方程的全局吸引子[J]. 应用数学进展, 2024, 13(8): 3600-3617. https://doi.org/10.12677/AAM.2024.138343

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