摘要
研究具有实际背景的弯曲与扭转联合作用下梁方程组在非线性边界条件下的吸引子.首先通过Faedo-Galerkin方法证明整体解的存在唯一性,其次证明系统存在有界吸收集和半群的渐近光滑性,最后得到全局吸引子的存在.
In this paper,attractor of beam equations is studied,which is excited jointly by winding and twisting with a realistic background under nonlinear boundary conditions.Firstly,we prove the existence and uniqueness of global solution by the Faedo-Galerkin method.Secondly,we prove that the system has bounded absorbing sets and asymptotic smoothness of the related solution semigroup.Finally we get the existence of the global attractor.
作者
张婷
张建文
Zhang Ting;Zhang Jianwen(College of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China)
出处
《动力学与控制学报》
2021年第4期25-31,共7页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(11872264)。
关键词
弯曲与扭转联合
非线性边界条件
整体解
全局吸引子
coupled flexural and torsional
nonlinear boundary conditions
global solution
global attractor
