摘要
吸引子的存在性问题是无穷维动力系统的主要问题之一.在本文中,建立了有非线性边界阻尼均匀流动的粘弹性方程,通过能量衰减和建立李雅普诺夫函数,最后,证明了吸引子的存在.
The existence of the attractor is one of the main problems of infinite dimensional dynamical system.In this paper,we establish the uniform attractors for the viscoelastic equation with a nonlinear boundary damping,by means of the energy decay and the establishment of Lyapunov function.Finally,we proved the existence of the attractor.
出处
《河南大学学报（自然科学版）》
CAS
北大核心
2014年第3期253-260,共8页
Journal of Henan University:Natural Science
基金
The National Natural Scince Foundafion of China(11271066,110310031)
College of Science of Donghua University(109-03-002102)
Shanghai Education Commission with Contract(13zz048)
关键词
粘弹性方程
一致吸引子
半群
viscoelastic equation
uniform attractor
semi-processes
