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THE LARGE TIME BEHAVIOR OF SPECTRAL APPROXIMATION FOR A CLASS OF PSEUDOPARABOLIC VISCOUS DIFFUSION EQUATION

尚亚东   

  1. 广州大学数学与信息学院, 广州 510006
  • 收稿日期:2005-02-16 修回日期:1900-01-01 出版日期:2007-01-20 发布日期:2007-01-20
  • 通讯作者: 尚亚东
  • 基金资助:

    This work was supported by the National Science Foundation of China (10271034)

THE LARGE TIME BEHAVIOR OF SPECTRAL APPROXIMATION FOR A CLASS OF PSEUDOPARABOLIC VISCOUS DIFFUSION EQUATION

Shang Yadong   

  1. School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
  • Received:2005-02-16 Revised:1900-01-01 Online:2007-01-20 Published:2007-01-20
  • Contact: Shang Yadong

摘要:

The asymptotic behavior of the solutions to a class of pseudoparabolic viscous diffusion equation with periodic initial condition is studied by using the spectral method. The semidiscrete Fourier approximate solution of the problem is constructed and the error estimation between spectral approximate solution and exact solution on large time is also obtained. The existence of the approximate attractor AN and the upper semicontinuity d(AN, A}) → 0 are proved.

关键词: Pseudoparabolic, diffusion equation, viscosity, spectral methods, long timebehavior, large time error estimates

Abstract:

The asymptotic behavior of the solutions to a class of pseudoparabolic viscous diffusion equation with periodic initial condition is studied by using the spectral method. The semidiscrete Fourier approximate solution of the problem is constructed and the error estimation between spectral approximate solution and exact solution on large time is also obtained. The existence of the approximate attractor AN and the upper semicontinuity d(AN, A}) → 0 are proved.

Key words: Pseudoparabolic, diffusion equation, viscosity, spectral methods, long timebehavior, large time error estimates

中图分类号: 

  • 35B4