吊桥方程指数吸引子的存在性  

The Existence of Exponential Attractors for the Suspension Bridge Equation

作　　者：王文婷[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：《应用泛函分析学报》2016年第2期212-219,共8页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(11101334;11361053);甘肃省自然科学基金(1107RJZA223);甘肃省教育厅高校科研基金

摘　　要：吊桥方程是工程数学中的一类重要数学模型.在非自治和自治两种情况下,吊桥方程紧整体吸引子的存在性已有许多结果.然而,这一问题指数吸引子的存在性还无人讨论.我们借助Eden等人提出的方法,证明了该问题指数吸引子的存在性.Abstract The suspension bridge equation is an important model in engineering math- ematics. We have a lot of results for attractors in cases of autonomous and nonau- tonomous conditions. However, there are nobody have discussed the problem of expo- nential attractors for this problem. Now, based on the methods proposed by Aden et al, the existence of the exponential attractors for the suspension bridge equation are proved.

关 键 词：吊桥方程 指数吸引子 挤压性 

分 类 号：O175.15[理学—数学]