| Navier-Stokes方程的非奇异解分支的谱Galerkin逼近 |
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| 引用本文： | 王立周,李开泰.Navier-Stokes方程的非奇异解分支的谱Galerkin逼近[J].计算数学,2002,24(1):39-52. |
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| 作者姓名： | 王立周 李开泰 |
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| 作者单位： | 西安交通大学理学院,西安,710049 |
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| 基金项目： | 国家重大基础研究专项经费资助项目G1999032801;国家自然科学基金资助项目NSFC:10101020. |
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| 摘 要： | No error estimate of the spectral Galerkin approximation for the steady-state Navier-Stokes equations was given without assuming that the data of the externalforce field and the boundary conditions are small enough. In this paper, under the condition that the solutions of the Navier-Stokes equations are nonsingular,we proved the existence and convergence of the spectral Galerkin approximation solutions and gave the error estimate. At last, this approximation method wasapplied to simulate the spherical Couette flow.
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| 关 键 词： | Navier－Stokes方程 非奇异解分支 谱Galerkin逼近 |
| 修稿时间： | 2000年1月18日 |
SPECTRAL GALERKIN APPROXIMATION OF BRANCHES OF NONSINGULAR SOLUTIONS FOR THE NAVIER-STOKES EQUATIONS |
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| Li Kaitai Wang Lizhou.SPECTRAL GALERKIN APPROXIMATION OF BRANCHES OF NONSINGULAR SOLUTIONS FOR THE NAVIER-STOKES EQUATIONS[J].Mathematica Numerica Sinica,2002,24(1):39-52. |
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| Authors: | Li Kaitai Wang Lizhou |
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| Institution: | Li Kaitai Wang Lizhou (Faculty of Science, Xi'an Jiaotong University, Xi'an, 710049) |
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| Abstract: | No error estimate of the spectral Galerkin approximation for the steady-state Navier-Stokes equations was given without assuming that the data of the external force field and the boundary conditions are small enough. In this paper, under the condition that the solutions of the Navier-Stokes equations are nonsingular, we proved the existence and convergence of the spectral Galerkin approkimation solutions and gave the error estimate. At last, this approximation method was applied to simulate the spherical Couette flow. |
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| Keywords: | Navier-Stokes equations branches of nonsingular solu- tions spectral Galerkin approximation spherical Couette flow |
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