BOUNDARY LAYER ESTIMATION OF THE QUASILINEAR STOKES EQUATIONS

数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (4): 413-428.

BOUNDARY LAYER ESTIMATION OF THE QUASILINEAR STOKES EQUATIONS

何成^1,2

1. Institute of Math., Shantou University, Guangdong 515065, China;
2. Institute of Applied Math., Academia Sinica, Beijing 100080, China

收稿日期:1995-03-09 修回日期:1996-09-18 出版日期:1997-12-25 发布日期:1997-12-25
基金资助:
This work is supported by Foundation of Institute of Mathematics, Academia sinica.

BOUNDARY LAYER ESTIMATION OF THE QUASILINEAR STOKES EQUATIONS

He Cheng^1,2

1. Institute of Math., Shantou University, Guangdong 515065, China;
2. Institute of Applied Math., Academia Sinica, Beijing 100080, China

Received:1995-03-09 Revised:1996-09-18 Online:1997-12-25 Published:1997-12-25
Supported by:
This work is supported by Foundation of Institute of Mathematics, Academia sinica.

摘要/Abstract

摘要： We first prove the existence and uniqueness of solution of quasilinear Stokes equations. Then it is shown when the viscosity vanishes, the solution of the quasilinear Stokes equations tends to the solution of the degenerate equations, in which the viscous term is omitted from the quasilinear Stokes equations and the boundary condition is weakened. In the end, we obtain the boundary layer estimation. Our result shows that the thickness of the boundary layer is proportional to ε^(1)/4.

关键词: Quasilinear Stokes equations, degenerate equations, boundary layer

Abstract: We first prove the existence and uniqueness of solution of quasilinear Stokes equations. Then it is shown when the viscosity vanishes, the solution of the quasilinear Stokes equations tends to the solution of the degenerate equations, in which the viscous term is omitted from the quasilinear Stokes equations and the boundary condition is weakened. In the end, we obtain the boundary layer estimation. Our result shows that the thickness of the boundary layer is proportional to ε^(1)/4.

Key words: Quasilinear Stokes equations, degenerate equations, boundary layer

何成. BOUNDARY LAYER ESTIMATION OF THE QUASILINEAR STOKES EQUATIONS[J]. 数学物理学报(英文版), 1997, 17(4): 413-428.

He Cheng. BOUNDARY LAYER ESTIMATION OF THE QUASILINEAR STOKES EQUATIONS[J]. Acta mathematica scientia,Series B, 1997, 17(4): 413-428.

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BOUNDARY LAYER ESTIMATION OF THE QUASILINEAR STOKES EQUATIONS

BOUNDARY LAYER ESTIMATION OF THE QUASILINEAR STOKES EQUATIONS

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