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Plate方程指数吸引子的存在性

Existence of Exponential Attractors in Plate Equation
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摘要 主要研究了在光滑边界?Ω的有界区域上Plate方程指数吸引子的存在性,在前人研究的基础上,在相空间E0上运用Lipschitz连续及离散的挤压性条件,证明了Plate方程指数吸引子的存在性. In this paper,we study the Plate equation exponential attractor on bounded region ?Ω with smooth boundary.On the basis of previous studies,the existence of Plate equation exponential attractor is proved by Lipschitz continuous and discrete squeezing conditions in phase space.
作者 苏小虎 姜金平 SU Xiao-hu;JIANG Jin-ping(Colleae of Mathematicc and Computer Science, Yan'an Univeaity, Yanjn 716000 , China)
出处 《安徽师范大学学报(自然科学版)》 CAS 2019年第4期328-334,共7页 Journal of Anhui Normal University(Natural Science)
基金 陕西省自然科学基础研究项目(2018JM1042) 延安大学研究性教育创新计划项目(YCX201906)
关键词 Plate方程 LIPSCHITZ连续 离散挤压性条件 指数吸引子 Plate equation Lipschitz continuous discrete extrusion conditions exponential attractor
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