Non-autonomous wave dynamics with memory --- asymptotic regularity and uniform attractor
Non-autonomous wave dynamics with memory --- asymptotic regularity and uniform attractor
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DOI：
10.3934/dcdsb.2008.9.743
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发表时间：
2008-02
影响因子：
1.2
通讯作者：
Chunyou Sun;D. Cao;Jinqiao Duan
中科院分区：
文献类型：
--
作者：
Chunyou Sun;D. Cao;Jinqiao Duan
研究了具有线性记忆、临界非线性和瞬态外强迫的非自主强阻尼波型演化方程的动力学行为。假设与时间相关的外部强迫仅是平移限制的，而不是平移紧致的。首先证明了解的渐近正则性，进而得到了紧一致吸引子的存在性及其结构和正则性。
The dynamical behavior of non-autonomous strongly damped wave-type evolutionary equations with linear memory, critical nonlinearity, and time-dependent external forcing is investigated. The time-dependent external forcing is assumed to be only translation-bounded, instead of translation-compact. First, the asymptotic regularity of solutions is proved, and then the existence of the compact uniform attractor together with its structure and regularity is obtained.