共 21 条
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.
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页码:85 / 95
页数:11
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