Existence and regularity of global attractors for a Kirchhoff wave equation with strong damping and memory

被引：0
|
作者：
Yang, Bin [1 ]
Qin, Yuming [2 ]
Miranville, Alain [3 ]
Wang, Ke [2 ]
机构：
[1] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China
[2] Donghua Univ, Inst Nonlinear Sci, Dept Math, Shanghai 201620, Peoples R China
[3] Univ Poitiers, Lab Math & Applicat, CNRS, UMR 7348,SP2MI, Blvd Marie & Pierre Curie,Teleport 2, F-86962 Futuroscope, France
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2024年 / 79卷
基金：
中国国家自然科学基金;
关键词：
Kirchhoff wave equation; Global attractor; Strong damping; Memory; Regularity; BEHAVIOR; DYNAMICS;
D O I：
10.1016/j.nonrwa.2024.104096
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the existence and regularity of global attractor A for a Kirchhoff wave equation with strong damping and memory in H and H 1 , respectively. In order to obtain the existence of it , we mainly use the energy method in the priori estimations, and then verify the asymptotic compactness of the semigroup by the method of contraction function. Finally, by decomposing the weak solutions into two parts and some elaborate calculations, we prove the regularity of A .
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页数：14
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