Long-time behavior for a class of extensible beams with nonlocal weak damping and critical nonlinearity

被引：18
|
作者：
Zhao, Chunxiang [1 ]
Ma, Shan [2 ]
Zhong, Chengkui [1 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2020年 / 61卷 / 03期
关键词：
EXPONENTIAL ATTRACTORS; GLOBAL ATTRACTOR; WAVE-EQUATIONS; DYNAMICS; EXISTENCE; STABILITY;
D O I：
10.1063/1.5128686
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper is devoted to establishing the long-time behavior of extensible beam equation with the nonlocal weak damping on a bounded smooth domain of Rn with hinged (clamped) boundary condition. It proves the well-posedness by means of the monotone operator theory and the existence of a global attractor when the growth exponent of the nonlinearity f(u) is up to the critical case in natural energy space. Published under license by AIP Publishing.
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页数：15
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