Hamiltonian偏微分方程在环面上的稳定性  

Stability on Torus of Hamiltonian Partial Differential Equation

作　　者：董华营 徐凤生[1] 鲁秀云 DONG Hua-ying;XU Feng-sheng;LU Xiu-yun(School of Mathematical Sciences,Dezhou University,Dezhou Shandong 253023,China)

机构地区：[1]德州学院数学与大数据学院,山东德州253023

出　　处：《德州学院学报》2021年第4期4-7,19,共5页Journal of Dezhou University

摘　　要：Hamiltonian系统是动力系统的另一种说法,经常利用Hamiltonian系统在摆脱拉格朗日力学的基础上解决辛空间中的长时间稳定性估计,文章主要利用Hamiltonian偏微分方程研究在环面上长时间稳定性问题,首先给出Hamiltonian系统的模型,其次推出对应的技术引理,最后将抽象引理应用到偏微分方程当中.Hamiltonian system is another way of saying dynamic system,The long-time stability estimation in symplast is often solved by using Hamiltonian systems on the basis of Bitola Grange mechanics, on this paper, the long-time stability on torus is studied by using Hamiltonian partial differential equation. First, the model of Hamiltonian system is given;Then the corresponding technical lemma is given;The abstract theorem is applied to the equation last.

关 键 词：HAMILTONIAN系统 稳定性估计 偏微分方程 环面 

分 类 号：O175.21[理学—数学]