Existence of Time-Dependent Global Attractors for Beam Equations
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摘要: 研究了梁方程时间依赖吸引子的存在性, 在非线性项f满足临界增长条件时, 基于时间依赖全局吸引子的存在性定理, 应用先验估计和算子分解方法验证了系数参数与时间t有关时, 梁方程对应的过程族{U(t,τ)}的渐近紧性,从而得到梁方程时间依赖全局吸引子的存在性及正则性.Abstract: 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.
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Key words:
- beam equation /
- prior estimate /
- operator decomposition /
- time-dependent global attractor
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