非线性边界条件下弯扭耦合梁方程组的吸引子
作者:
作者单位:

太原理工大学 数学学院,太原 030024

作者简介:

E-mail: zhangjianwen@tyut.edu.cnE-mail: zhangjianwen@tyut.edu.cn

通讯作者:

E-mail: zhangjianwen@tyut.edu.cn

中图分类号:

基金项目:

国家自然科学基金资助项目(11872264)


ATTRACTOR FOR EQUATIONS OF ABENDING AND TORSIONAL COUPLED BEAM UNDER NONLINEAR BOUNDARY CONDITIONS
Author:
Affiliation:

College of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China

Fund Project:

The project supported by the National Natural Science Foundation of China(11872264).

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    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.

    Abstract:

    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.

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引用本文

张婷,张建文.非线性边界条件下弯扭耦合梁方程组的吸引子[J].动力学与控制学报,2021,19(4):25~31; Zhang Ting, Zhang Jianwen. ATTRACTOR FOR EQUATIONS OF ABENDING AND TORSIONAL COUPLED BEAM UNDER NONLINEAR BOUNDARY CONDITIONS[J]. Journal of Dynamics and Control,2021,19(4):25-31.

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历史
  • 收稿日期:2020-02-13
  • 最后修改日期:2020-03-29
  • 录用日期:2020-04-11
  • 在线发布日期: 2021-08-30
  • 出版日期: 2021-08-15

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