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梁方程时间依赖全局吸引子的存在性

姜金平 苏小虎Xiaohu SuJIANG Jinping

2020应用数学和力学Engineering被引 1开放获取

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摘要

The existence of time-dependent global attractors for beam equations was studied. Based on the existence theorem for time-dependent global attractors, if nonlinear term f met the critical increase condition, the asymptotic compactness of process family {U(t,τ)} corresponding to the beam equations was proved with the prior estimate method and the operator decomposition method when the coefficient was related to time t.In turn, the existence and regularity of the time-dependent global attractors for beam equations were obtained.

引用本文(GB/T 7714)

姜金平 苏小虎, Xiaohu Su, JIANG Jinping. 梁方程时间依赖全局吸引子的存在性[J]. 应用数学和力学, 2020.

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DOI:https://doi.org/10.21656/1000-0887.400088

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