ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE

被引：5

作者：

Huang, Feimin ^{[1
]}

Li, Jing ^{[1
]}

Shi, Xiaoding ^{[2
]}

机构：

[1] Acad Sinica, Inst Appl Math, AMSS, Beijing 100190, Peoples R China

[2] Beijing Univ Technol & Chem, Dept Math, Grad Sch Sci, Beijing 100029, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2010年 / 8卷 / 03期

关键词：

Asymptotic behavior of solutions; Navier-Stokes equations; boundary layer; rarefaction wave; RAREFACTION WAVE; STABILITY; SYSTEM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The one-dimensional motion of compressible viscous and heat-conductive fluid is investigated in the half space. By examining the sign of fluid velocity prescribed on the boundary, initial boundary value problems with Dirichlet type boundary conditions are classified into three cases: impermeable wall problem, inflow problem and outflow problem. In this paper, the asymptotic stability of the rarefaction wave, boundary layer solution, and their combination is established for both the impermeable wall problem and the inflow problem under some smallness conditions. The proof is given by an elementary energy method.

引用

页码：639 / 654

页数：16

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