%0 Journal Article
%T 带有强阻尼和记忆项的Kirchhoff板方程的全局吸引子<br>Global Attractors for a Kirchhoff-Type Plate Equation with StrongDamping and Memory
%A 刘润杰
%J Advances in Applied Mathematics
%P 3600-3617
%@ 2324-8009
%D 2024
%I Hans Publishing
%R 10.12677/AAM.2024.138343
%X 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。<br />
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.
%K 板方程，Kirchhoff型，强阻尼，记忆项，全局吸引子<br>Plate Equation
%K Kirchhoff-Type
%K Strong Damping
%K Memory Term
%K Global Attractors
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=92686