二维N-S方程的Fourier非线性Galerkin方法<sup>*</sup>

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二维N-S方程的Fourier非线性Galerkin方法^*

基金项目: * 国家攀登计划项目

Research Centre for Applied Mathematics, Xi'an Jiaotong Uniuersity, Xi'an 710049, P. R. China

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。
- N-S方程 /
- 非线性Galerkin方法 /
- Fourier方法
Abstract: In this paper,for viscous incompressible Navier-Stokes equations with periodic bonndary conditions,we prove the existence and uniqueness ot the solution corresponding to its Fourier nonlinear Galerkin approximation.At the same time we give its error estimates.
- Navier-Stokes equations /
- nonlinear Galerkin methods /
- Fourier methods

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