摘要
利用Galerkin方法,研究了一类具有结构阻尼的kirchhoff型波动方程,方程是截面弹性杆运动的模型.通过各种不等式技巧及算子半群理论,证明了方程的解半群具有全局吸引子.
In this paper,a kind of Kirchhoff type Wave Equation with strong Damping is studied by Galerkin,which arise from the cross-section motion of elastic rod.It proved that the related continuous semigroup s(t)has a global attractor which is connected.
作者
牛丽芳
卫钱瑞
NIU Li-fang;WEI Qian-rui(College of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China)
出处
《数学的实践与认识》
2021年第1期186-192,共7页
Mathematics in Practice and Theory
基金
山西省自然科学基金(201801D121016)。