Plate方程时间依赖全局吸引子的存在性  

Existence of time-dependent global attractors for plate equations

作　　者：刘亭亭[1] 马巧珍[1] 

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《华东师范大学学报（自然科学版）》2016年第2期35-44,共10页Journal of East China Normal University(Natural Science)

基　　金：国家自然科学基金(11561064);甘肃省自然科学基金(1107RJZA223);甘肃高校科研项目

摘　　要：时间依赖全局吸引子的概念是Di Plinio,Temam等人于近期提出的.在非线性项f满足临界增长条件时,应用算子分解技巧,验证了系数参数与时间t有关时plate方程对应的过程族{U(t,τ)}的渐近紧性,进而获得了plate方程时间依赖全局吸引子的存在性及正则性.The concept of time-dependent global attractors was recently presented by Di Plinio, Temam et al. By using the skill of the operator decomposition, the asymptotic compactness of a family process {U（t,τ）} corresponding to the plate equations with the coefficient dependent on time was proved, and then the existence of time-dependent global attractors as well as the regularity were obtained under the condition that f satisfies the critical exponent growth.

关 键 词：plate方程 时间依赖全局吸引子 渐近紧性 正则性 

分 类 号：O175.29[理学—数学]