CAJ | 학술논문

利用非退化转向点的扩充系统，证明了如下结论：设(λ0，u0)是Navier-Stokes方程的非退化转向点，则存在正整数m1，当m大于m1时，在(λ0，u0)的某个邻域内，谱Galerkin逼近方程存在惟一解，且为谱Galerkin逼近方程的非退化转向点，并给出了L2范数和H1范数下的误差估计．
이용비퇴화전향점적확충계통，증명료여하결론：설(λ0，u0)시Navier-Stokes방정적비퇴화전향점，칙존재정정수m1，당m대우m1시，재(λ0，u0)적모개린역내，보Galerkin핍근방정존재유일해，차위보Galerkin핍근방정적비퇴화전향점，병급출료L2범수화H1범수하적오차고계．
Using an extended system of the nondegenerate turning point, the following conclusion is proved: If (λ0，u0) is a nondegenerate turning point of the Navier-Stokes equations, then there exists an integer m1， such that for each m greater than m1， the spectral Galerkin approximation equations have an unique solution in some neighborhood of (λ0，u0), which is a nondegenerate turning point of the Galerkin approximation equations. The error estemation under various norms is given.