| Navier-Stokes方程对称破坏分歧点的谱Galerkin逼近[英文] |
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| 引用本文： | 王贺元,王为民,李开泰.Navier-Stokes方程对称破坏分歧点的谱Galerkin逼近[英文][J].应用数学,2002,15(3):125-131. |
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| 作者姓名： | 王贺元 王为民 李开泰 |
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| 作者单位： | 西安交通大学理学院科学计算与应用软件系计算物理研究室,陕西,西安,710049 |
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| 基金项目： | Subsidizedbythespecialfundsformajorbasicresearchprojects(G19990 32 80 1 0 7) |
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| 摘 要： | 本文研究了Navier-Stokes方程对称破坏分歧点的谱Galerkin逼近问题，构造了定常Navier-Stokes方程对称破坏分歧点扩充系统及其谱Galerkin逼近扩充系统，证明了谱Galerkin逼扩充系统解的存在性和收敛性，从而给出了Navier-Stokes方程对称破坏分歧点的谱Galerkin逼近，并给出了逼近的误差估计。
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| 关 键 词： | Navier－Stokes方程 对称破坏分歧点 谱Galerkin逼近 |
Spectral Galerkin Approximation of Symmetry Breaking Bifurcation Point of the Navier-Stokes Equations |
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| WANG He yuan,WANG Wei min,LI Kai tai.Spectral Galerkin Approximation of Symmetry Breaking Bifurcation Point of the Navier-Stokes Equations[J].Mathematica Applicata,2002,15(3):125-131. |
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| Authors: | WANG He yuan WANG Wei min LI Kai tai |
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| Abstract: | In this paper, spectral Galerkin approximate problem of symmetry breaking biffurcation points for the stationary Navier Stokes equations is studied, the extended system and its spectral Galerkin approximate system of symmetry breaking biffurcation points for the Navier Stokes equations are constructed, the existence and convergence of solutions of the spectral Galerkin approximate system are proved. Accordingly, spectral Galerkin approximation of symmetry breaking bifurcation points of the Navier Stokes equations is given. Moreover, the error estimates are presented. |
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| Keywords: | Navier Stokes equations Symmetry breaking bifurcation points Spectral Galerkin approximation |
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