| 二维N－S方程的Fourier非线性Galerkin方法 |
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| 引用本文： | 侯延仁. 二维N－S方程的Fourier非线性Galerkin方法[J]. 应用数学和力学, 1996, 0(9) |
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| 作者姓名： | 侯延仁 |
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| 作者单位： | 西安交通大学应用数学研究中心 |
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| 摘 要： | 本文对周期边界条件Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程，证明了其Ｆｏｕｒｉｅｒ非线性Ｇａｌｅｒｋｉｎ逼近解的存在唯一性，同时给出了逼近解的误差估计．
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| 关 键 词： | N－S方程，非线性Galerkin方法，Fourier方法 |
Fourier Nonlinear Galerkin Approximation for the Two Dimensional Navier-Stokes Equations |
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| Hou Yanren. Fourier Nonlinear Galerkin Approximation for the Two Dimensional Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 1996, 0(9) |
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| Authors: | Hou Yanren |
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| Abstract: | In this paper,for viscous incompressible Navier-stokes equations with periodic boundary conditions,we prove the existence and uniqueness of the solution corresponding to its Fourier nonlinear Galerkin approximation.At the same time,we give its error estimates. |
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| Keywords: | Navier-Stokes equations nonlinear Galerkin methods Fourier methods |
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