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FULL DISCRETE NONLINEAR GALERKIN METHOD FOR THE NAVIER-STOKES EQUATIONS
作者姓名:LIKAITAI  HEYINNIAN  XIANGYIMIN
作者单位:[1]InstituteofComputationalandAppliedMathematics,Xi'anJiaotongUniversity,Xi'an,710049 [2]InstituteofComputationalandAppliedMathematics,Xi'anJiaotongUniversity,Xi'an,710049
摘    要:This paper deals with the inertial manifold and the approximate inertial manifold concepts of the Navier-Stokes equations with nonhomogeneous boundary conditions and inertial algorithm. Furtheremore, we provide the error estimates of the approximate solutions of the Navier-Stokes Equations.

关 键 词:NAVIER-STOKES方程  全离散非线性GALERKIN方法  分步法  近似惯性簇
收稿时间:19 December 1991

Full discrete nonlinear galerkin method for the Navier-Stokes equations
LIKAITAI HEYINNIAN XIANGYIMIN.FULL DISCRETE NONLINEAR GALERKIN METHOD FOR THE NAVIER-STOKES EQUATIONS[J].Applied Mathematics A Journal of Chinese Universities,1994,9(1):11-30.
Authors:Li Kaitai  He Yinnian  Xiang Yimin
Institution:(1) Institute of Computational and Applied Mathematics, Xi’an Jiaotong University, 710049 Xi’an
Abstract:This paper deals with the inertial manifold and the approximate inertialmanifold concepts of the Navier-Stokes equations with nonhomogeneous boundary conditions and inertial algorithm. Furtheremore,we provide the error estimates of the approximate solutions of the Navier-Stokes Equations.
Keywords:Full Discrete Nonlinear Galerkin Method  Fractional Step Method  Approximate Inertial Manifold  Navier-Stokes Equations  AMS Subject Classification  65N30  65M60  
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