| 关于Kuramoto-Sivashinsky方程的非线性Galerkin方法之注记* |
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| 引用本文： | 伍渝江.关于Kuramoto-Sivashinsky方程的非线性Galerkin方法之注记*[J].应用数学和力学,1997,18(10):937-945. |
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| 作者姓名： | 伍渝江 |
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| 作者单位： | 1.上海大学数学系, 上海 201800; |
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| 摘 要： | 本文致力于讨论求解Kuramoto-Sivashinsky方程的非线性Galerkin方法,我们采用了sm个小尺度分量作反馈,并给出了收敛性结果,分析了误差估计．结论表明我们的修正方法是十分有效的．
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| 关 键 词： | 非线性Galerkin方法 Kuramoto-Sivashinsky方程 无穷维动力系统 |
| 收稿时间： | 1995-10-16 |
Remarks on Nonlinear Galerkin Method for Kuramoto-Sivashinsky Equation |
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| Wu Yujiang.Remarks on Nonlinear Galerkin Method for Kuramoto-Sivashinsky Equation[J].Applied Mathematics and Mechanics,1997,18(10):937-945. |
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| Authors: | Wu Yujiang |
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| Institution: | 1.Department of Mathematics, Shanghai University, Shanghai 201800;2.Department of Mathematics, Lanzhou University, Lanzhou 730000, P. R. China |
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| Abstract: | This paper is concentrated on a nonlinear Galerkin method with sm small-scale components for Kuramoto-Siyashinsky equation, in which convergence results and the analysis of error estimates are given. The conclusion shows that this choice of modes is efficient for the method modified. |
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| Keywords: | nonlinear Galerkin method Kuramoto-Sivashinsky equation infinite dimensional dynamical systems |
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