摘要
运用算子半群分解的方法,研究了一类带强阻尼kirchhoff型吊桥方程的长时间动力学行为.首先,在适当的假设条件下,得到方程的解半群;其次,验证了解半群在两个空间中的渐近紧性;最后,分别通过算子分解方法,得到此类带强阻尼kirchhoff型吊桥方程的整体吸引子和指数吸引子的存在性.
The long-time dynamic behavior of a Kirchhoff type suspension bridge equation with strong damping is studied by using the method of operator semigroup decomposition.Under appropriate assumptions,the solution semigroup of the equation is obtained,then asymptotic compactness of the solution semigroup in two spaces is verified,and the existence of global attractor and exponential attractor for the Kirchhoff type suspension bridge equation with strong damping is obtained by operator decom-position method.
作者
吕鹏辉
腾旭
吕小俊
LV Peng-hui;TENG Xu;LV Xiao-jun(Department of Information,School of Tourism and Culture,Yunnan University,Lijiang 674199,China)
出处
《西南民族大学学报（自然科学版）》
CAS
2020年第2期185-194,共10页
Journal of Southwest Minzu University(Natural Science Edition)
基金
国家自然科学基金(11161025)
云南省教育厅科学研究项目(2019J0245,2020J0908)
云南大学旅游文化学院重点项目(2015XYZ03)。
