Boundary layer problems for the two-dimensional compressible Navier-Stokes equations

被引：17

作者：

Gong, Shengbo ^{[1
]}

Guo, Yan ^{[2
]}

Wang, Ya-Guang ^{[3
,4
]}

机构：

[1] Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China

[2] Brown Univ, Div Appl Math, Providence, RI 02912 USA

[3] Jiao Tong Univ, Dept Math, MOE LSC, Shanghai 200030, Peoples R China

[4] Jiao Tong Univ, SHL MAC, Shanghai 200030, Peoples R China

来源：

ANALYSIS AND APPLICATIONS | 2016年 / 14卷 / 01期

基金：

美国国家科学基金会;

关键词：

Well-posedness; boundary layer; compressible Navier-Stokes equations; ILL-POSEDNESS; PRANDTL; EXISTENCE; LIMIT; EULER;

D O I：

10.1142/S0219530515400011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the well-posedness of the boundary layer problems for compressible Navier-Stokes equations. Under the non-negative assumption on the laminar flow, we investigate the local spatial existence of solution for the steady equations. Meanwhile, we also obtain the solution for the unsteady case with monotonic laminar flow, which exists for either long time small space interval or short time large space interval. Moreover, the limit of these solutions with vanishing Mach number is considered. Our proof is based on the comparison theory for the degenerate parabolic equations obtained by the Crocco transformation or von Mises transformation.

引用

页码：1 / 37

页数：37

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