Vanishing Shear Viscosity and Boundary Layer for the Navier-Stokes Equations with Cylindrical Symmetry

被引：27

作者：

Qin, Xulong ^{[1
]}

Yang, Tong ^{[2
,3
]}

Yao, Zheng-an ^{[1
]}

Zhou, Wenshu ^{[4
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

[2] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China

[3] Dalian Nationalities Univ, Dept Math, Dalian 116600, Peoples R China

[4] Dalian Univ Technol, Dept Math, Dalian 116024, Peoples R China

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2015年 / 216卷 / 03期

关键词：

COMPRESSIBLE FLUIDS; FLOWS; LIMIT;

D O I：

10.1007/s00205-014-0826-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Both the global well-posedness for large data and the vanishing shear viscosity limit with a boundary layer to the compressible Navier-Stokes system with cylindrical symmetry are studied under a general condition on the heat conductivity coefficient that, in particular, includes the constant coefficient. The thickness of the boundary layer is proved to be almost optimal. Moreover, the optimal L (1) convergence rate in terms of shear viscosity is obtained for the angular and axial velocity components.

引用

页码：1049 / 1086

页数：38

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