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Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (9): 879-887.

• 论文 • 上一篇    下一篇

FOURIER NONLINEAR GALERKIN APPROXIMATION FOR THE TWO DIMENSIONAL NAVIER-STOKES EQUATIONS

侯延仁   

  1. Research Center for Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049. P. R. China
  • 收稿日期:1995-06-01 出版日期:1996-09-18 发布日期:1996-09-18
  • 基金资助:
    Project supported by Large Scale Science and Engineering Computing

FOURIER NONLINEAR GALERKIN APPROXIMATION FOR THE TWO DIMENSIONAL NAVIER-STOKES EQUATIONS

Hou Yanren   

  1. Research Center for Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049. P. R. China
  • Received:1995-06-01 Online:1996-09-18 Published:1996-09-18
  • Supported by:
    Project supported by Large Scale Science and Engineering Computing

摘要： 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.

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.

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