Fractal dimension of global attractors for a Kirchhoff wave equation with a strong damping and a memory term

被引:1
作者
Qin, Yuming [1 ,2 ]
Wang, Hongli [1 ]
Bin Yang [3 ]
机构
[1] Donghua Univ, Dept Math, Shanghai 201620, Peoples R China
[2] Donghua Univ, Insitute Nonlinear Sci, Shanghai 201620, Peoples R China
[3] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China
关键词
Fractal dimension; subcritical case; Kirchhoff wave equation; global attractor; stabilizability inequality; HYPERBOLIC EQUATION; EXISTENCE; BEHAVIOR;
D O I
10.3233/ASY-231881
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with the dimension of the global attractors for a time-dependent strongly damped subcritical Kirchhoff wave equation with a memory term. A careful analysis is required in the proof of a stabilizability inequality. The main result establishes the finite dimensionality of the global attractor.
引用
收藏
页码:85 / 95
页数:11
相关论文
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