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

doi:10.1016/S0252-9602(07)60014-9

数学物理学报(英文版)

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

尚亚东

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

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/Abstract

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 A_N and the upper semicontinuity d(A_N, A}) → 0 are proved.

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

Abstract:

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

中图分类号:

35B4

尚亚东. THE LARGE TIME BEHAVIOR OF SPECTRAL APPROXIMATION FOR A CLASS OF PSEUDOPARABOLIC VISCOUS DIFFUSION EQUATION[J]. 数学物理学报(英文版), 2007, 27(1): 153-168.

Shang Yadong. THE LARGE TIME BEHAVIOR OF SPECTRAL APPROXIMATION FOR A CLASS OF PSEUDOPARABOLIC VISCOUS DIFFUSION EQUATION[J]. Acta mathematica scientia,Series B, 2007, 27(1): 153-168.

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

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

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