TIAN Li-xin, LIU Yu-rong, LIU Zeng-rong. The Research of Blow-up in 2D Weakly Damped Forced KdV Equation on Thin Domain[J]. Applied Mathematics and Mechanics, 2000, 21(10): 1002-1008.
Citation: TIAN Li-xin, LIU Yu-rong, LIU Zeng-rong. The Research of Blow-up in 2D Weakly Damped Forced KdV Equation on Thin Domain[J]. Applied Mathematics and Mechanics, 2000, 21(10): 1002-1008.

The Research of Blow-up in 2D Weakly Damped Forced KdV Equation on Thin Domain

  • Received Date: 1999-06-25
  • Rev Recd Date: 2000-05-10
  • Publish Date: 2000-10-15
  • The time estimate of the blow-up of the weakly damped forced KdV equation in thin 2D domains is given.
  • loading
  • [1]
    谷超豪.孤立子理论及应用[M].应用数学丛书,杭州:浙江大学出版社,1990.
    [2]
    刘式适,刘式达,谭本馗.非线性大气动力学[M].北京:国防工业大学出版社,1996.
    [3]
    郭柏灵.非线性演化方程[M].非线性科学丛书,上海:上海科技教育出版社,1995.
    [4]
    田立新,徐振源.弱阻尼KdV方程长期动力学行为研究[J].应用数学和力学,1997,18(10):953-958.
    [5]
    Balmforth N L,Ierley G R,Worthing R.Pulse dynamics in unstable medium[J].SIAM J Appl Math,1997,57(1):205-251.
    [6]
    Ghidaglia J M.Weakly damped forced Korteweg-de Vries equa tions be have as a finite dimensional dynamical system in the long time[J].J Differential Equations,1988,74(2):369-390.
    [7]
    Ghidaglia J M.A note on the strong convergence towards at tractors of damped forced KdV equations[J].J Differential Equations,1994,110(2):356-359.
    [8]
    卢殿臣,田立新,刘曾荣.扰动周期KdV方程的小波基分析[J].应用数学和力学,1998,19(11):975-979.
    [9]
    Temam R,Wang S.Inertial form of Navier-Stokes equations on the sphere[J].J Funct Anal,1993,117(2):215-243
    [10]
    LIU Zeng-rong,XU Zhen-yuan.A new method of studying the dynamical behaviour of the sine-Gordon equation[J].Phys Lett A,1995,204(5):343-346.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2099) PDF downloads(731) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return