| THE LARGE TIME BEHAVIOR OF SPECTRAL APPROXIMATION FOR A CLASS OF PSEUDOPARABOLIC VISCOUS DIFFUSION EQUATION |
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| 作者姓名： | 尚亚东 |
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| 作者单位： | School of |
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| 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 estiation 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.
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| 关 键 词： | 伪抛物型粘性扩散方程 谱方法 逼近 渐近行为 大时间误差估计 |
| 收稿时间： | 2005-02-16 |
The large time behavior of spectral approximation for a class of pseudoparabolic viscous diffusion equation |
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| Yadong Shang,.THE LARGE TIME BEHAVIOR OF SPECTRAL APPROXIMATION FOR A CLASS OF PSEUDOPARABOLIC VISCOUS DIFFUSION EQUATION[J].Acta Mathematica Scientia,2007,27(1):153-168. |
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| Authors: | Yadong Shang |
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| Institution: | aSchool of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China |
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| 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. |
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| Keywords: | Pseudoparabolic diffusion equation viscosity spectral methods long time behavior large time error estimates |
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