应用数学2020，Vol.33Issue(1)：25-35,11.
一类耦合梁方程组在非线性边界条件下解的长时间动力行为
Long-Time Dynamics of Solutions for a Class of Coupling Beam Equations with Nonlinear Boundary Conditions
摘要
Abstract
In this paper, we study long-time dynamics of solutions for a class of coupling beam equations with strong dampings under nonlinear boundary conditions. Firstly, we prove the existence and uniqueness of global solutions by some inequalities and prior estimates methods. Secondly, by an absorbing set and asymptotic compactness of the related solution semigroup, we prove the existence of a global attractor.关键词
耦合梁方程组/非线性边界条件/整体/吸引子Key words
Coupling beam equation/Nonlinear boundary condition/Global attractor分类
数理科学引用本文复制引用
王瑜,张建文..一类耦合梁方程组在非线性边界条件下解的长时间动力行为[J].应用数学,2020,33(1):25-35,11.基金项目
Supported by the National Natural Science Foundation of China(11872264) （11872264）
