| Attractor for the Extensible Beam Equation with Nonlocal Weak Damping on Time–Dependent Space |
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| 作者姓名： | Chun Xiang ZHAO Feng Juan MENG |
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| 作者单位： | 1. Institute of Applied System Analysis, Jiangsu University;2. School of Mathematics and Physics, Jiangsu University of Technology |
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| 基金项目： | Supported by National Natural Science Foundation of China (Grant Nos. 12101265, 12026431, 11701230,11731005)；;Qing Lan Project of Jiangsu Province；;China Postdoctoral Science Foundation (Grant No.2022M721392)； |
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| 摘 要： | In this article,we consider the long-time behavior of extensible beams with nonlocal weak damping:ε(t)utt+Δ2u-m(‖▽u‖2)Δu+‖ut‖(put)+f(u)=h,where ε(t) is a decreasing function vanishing at infinity.Within the theory of process on time-dependent spaces,we investigate the existence of the time-dependent attractor by using the Condition(Ct) method and more detailed estimates.The results obtained essentially improv...
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