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窄域上2D弱阻尼KdV方程的局部吸引子

田立新 刘玉荣 刘曾荣

田立新, 刘玉荣, 刘曾荣. 窄域上2D弱阻尼KdV方程的局部吸引子[J]. 应用数学和力学, 2000, 21(10): 1021-1027.
引用本文: 田立新, 刘玉荣, 刘曾荣. 窄域上2D弱阻尼KdV方程的局部吸引子[J]. 应用数学和力学, 2000, 21(10): 1021-1027.
TIAN Li-xin, LIU Yu-rong, LIU Zeng-rong. Local Attractors for the Weakly Damped Forced KdV Equation in Thin 2D Domains[J]. Applied Mathematics and Mechanics, 2000, 21(10): 1021-1027.
Citation: TIAN Li-xin, LIU Yu-rong, LIU Zeng-rong. Local Attractors for the Weakly Damped Forced KdV Equation in Thin 2D Domains[J]. Applied Mathematics and Mechanics, 2000, 21(10): 1021-1027.

窄域上2D弱阻尼KdV方程的局部吸引子

基金项目: 国家自然科学基金资助项目(19601020);江苏省青年科技基金资助项目(BQ98023);江苏省青蓝工程基金资助项目
详细信息
    作者简介:

    田立新(1963- ),男,江苏省姜堰人,教授,博士,江苏理工大学非线性科学研究中心主任(E-mail:tianlx@jsust.edu.cn).

  • 中图分类号: O175.29

Local Attractors for the Weakly Damped Forced KdV Equation in Thin 2D Domains

  • 摘要: 得到了窄域上2D的非自共轭且非扇形的弱阻尼KdV方程的局部吸引子的存在性.
  • [1] Temam R,Wang S.Inertial forms of Navier-Stokes equations on the sphere[J].J Funct Anal,1993,117(2):215-242.
    [2] Eden A,Foias C,Nicolaenko B,et al.Exponential attractors and their relevance to fluid dynamics systems[J].Phys D,1993,63(4):350-360.
    [3] Debussche A,Dubois T.Approximation of exponential order of the attractor of turbulent flow[J].Phys D,1994,72(4):372-389.
    [4] Sell G R.Global attractors for the three-dimensional Navier-Stokes equations[J].J Dynamics Differential Equations,1996,8(1):1-37.
    [5] Robinsion J C.Some closure results for inertial manifold[J].J Dynamics Differential Equations,1997,9(3):373-400.
    [6] LIU Zeng-rong,XU Zhen-yuan.A new method of studying the dy namical behaviour of the sine-Gordon equation[J].Phys Lett A,1995,20 4(5):343-346.
    [7] Eden A,Milani A,Nicolaenko B.Local exponetical attractor's for modes of phase change for compressible gas dynamics[J].Nonlinearity,1993,6(1):93-117.
    [8] Hale J K.Asymptotic Behaviour of Dissipative Systems[M].AMS Math Surv Monogr.New York:Springer-Verlag,1988.
    [9] Sell G,Taboada M.Local dissipativity and attractors for the K-S equation in thin 2D domains[J].Nonlinear Anal,1992,18(7):671-687.
    [10] Babin A V.Inertial manifolds for travelling wave solutions of reaction diffusion systems[J].Comm Pure Appl Math,1995,18(1):167-198.
    [11] Ghidaglia J M.Weakly damped forced Korteweg-de Vries equations be have as a finite dimensional dynamical system in the long time[J].J Differ ential Equations,1988,74(2):369-390.
    [12] Ghidaglia J M.A note on the strong convergence towards attractors of damped forced KdV equations[J].J Differential Equations,1994,110(2):356-359.
    [13] 田立新,徐振源.弱阻尼KdV方程中长期动力学行为研究[J].应用数学和 力学,1997,18(10):953-958.
    [14] 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.
    [15] 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.
    [16] 田立新,刘玉荣,刘曾荣.窄域上2D弱阻尼KdV方程的blow-up的研究[J].应用数学和力学,2000,21(10):1002-1008.
    [17] Balmforth N L,Ierley G R,Worthing R.Pulse dynamics in unstable medium[J].SIAM J Appl Math,1997,57(1):205-251.
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出版历程
  • 收稿日期:  1999-07-05
  • 修回日期:  2000-05-10
  • 刊出日期:  2000-10-15

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