| 广义BBM方程有理Chebyshev谱逼近的大时间性态 |
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| 引用本文： | 谌德,向新民. 广义BBM方程有理Chebyshev谱逼近的大时间性态[J]. 应用数学学报, 2006, 29(2): 311-325 |
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| 作者姓名： | 谌德 向新民 |
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| 作者单位： | 上海师范大学数理信息学院,上海,200234 |
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| 摘 要： | 本文考虑广义BBM方程的初值问题,建立了方程的有理Chebyshev谱格式,给出了谱格式的误差估计,并证明了原问题和近似问题所生成的算子半群分别具有整体吸引子A和AN,且AN关于A 是上半连续的．
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| 关 键 词： | 广义BBM方程 有理Chebyshev谱逼近 误差估计 近似吸引子 |
| 收稿时间： | 2004-04-26 |
| 修稿时间： | 2004-04-262006-01-20 |
The Long-time Behavior of Rational Chebyshev Spectral Approximation for General BBM Equations |
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| CHEN DE,XIANG XINMIN. The Long-time Behavior of Rational Chebyshev Spectral Approximation for General BBM Equations[J]. Acta Mathematicae Applicatae Sinica, 2006, 29(2): 311-325 |
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| Authors: | CHEN DE XIANG XINMIN |
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| Abstract: | The initial value problem of the general BBM equations is studied,a spectral scheme using the Chebyshev rational functions is constructed, the error estimate is given, and the existence of A and AN and the upper semi-continuity of AN with respect to A is proved. |
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| Keywords: | general BBM equations rational Chebyshev spectral approximation error estimation approximate attractor |
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