关于Kuramoto-Sivashinsky方程的非线性Galerkin方法之注记<sup>*</sup>

伍渝江

关于Kuramoto-Sivashinsky方程的非线性Galerkin方法之注记^*

伍渝江

1.
上海大学数学系, 上海 201800;
2.
兰州大学数学系, 兰州 730000

基金项目: *国家教委科研基金

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出版历程
- 收稿日期: 1995-10-16
- 修回日期: 1996-11-11
- 刊出日期: 1997-10-15

Remarks on Nonlinear Galerkin Method for Kuramoto-Sivashinsky Equation

Wu Yujiang

1.
Department of Mathematics, Shanghai University, Shanghai 201800;
2.
Department of Mathematics, Lanzhou University, Lanzhou 730000, P. R. China

摘要

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s_m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．
- 非线性Galerkin方法 /
- Kuramoto-Sivashinsky方程 /
- 无穷维动力系统
Abstract: This paper is concentrated on a nonlinear Galerkin method with s_m small-scale components for Kuramoto-Sivashmsky equation,in which convergence results and the analysis of error estimates are given.The conclusion shows that this choce of modes is efficient for The method modifred.
- nonlinear Galerkin method /
- Kuramoto-Sivashinsky equation /
- infinite dimensional dynamical systems

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参考文献(15)

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