A UNIFORMLY VALID ASYMPTOTIC SOLUTION OF THE NAVIER-STOKES EQUATIONS

Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (11): 1055-1067.

A UNIFORMLY VALID ASYMPTOTIC SOLUTION OF THE NAVIER-STOKES EQUATIONS

秦圣立, 张爱淑

Dept. Of Physics, Qufu Teachers University, Qufu

收稿日期:1993-11-24 出版日期:1994-11-18 发布日期:1994-11-18

A UNIFORMLY VALID ASYMPTOTIC SOLUTION OF THE NAVIER-STOKES EQUATIONS

Qin Sheng-li, Zhang Ai-shu

Dept. Of Physics, Qufu Teachers University, Qufu

Received:1993-11-24 Online:1994-11-18 Published:1994-11-18

摘要/Abstract

摘要： In this paper, problems of the flow over a fat plate in the large Reynolds numbercase are studied by using the method of multiple scales[1,2].We have obtained N-orderuniformly valid asymptotic solutions of the Naver-Stodes equations.

关键词: least-squares, mixed finite element method, error estimates, Navier-Stokes equations, the potential flow, the stream function, the boundary correction, the method of multiplescales

Abstract: In this paper, problems of the flow over a fat plate in the large Reynolds numbercase are studied by using the method of multiple scales[1,2].We have obtained N-orderuniformly valid asymptotic solutions of the Naver-Stodes equations.

Key words: least-squares, mixed finite element method, error estimates, Navier-Stokes equations, the potential flow, the stream function, the boundary correction, the method of multiplescales

秦圣立;张爱淑. A UNIFORMLY VALID ASYMPTOTIC SOLUTION OF THE NAVIER-STOKES EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(11): 1055-1067.

Qin Sheng-li;Zhang Ai-shu. A UNIFORMLY VALID ASYMPTOTIC SOLUTION OF THE NAVIER-STOKES EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(11): 1055-1067.

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A UNIFORMLY VALID ASYMPTOTIC SOLUTION OF THE NAVIER-STOKES EQUATIONS

A UNIFORMLY VALID ASYMPTOTIC SOLUTION OF THE NAVIER-STOKES EQUATIONS

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