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