Stability of Rarefaction Wave for Compressible Navier-Stokes Equations on the Half Line

This paper is concerned with the large-time behavior of solutions to an initial-boundary-value problem for full compressible Navier-Stokes equations on the half line（0,∞）,which is named impermeable wall problem.It is shown that the 3-rarefaction wave is stable under partially large initial perturbat...

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Bibliographic Details
Published inActa Mathematicae Applicatae Sinica Vol. 32; no. 1; pp. 175 - 186
Main Authors Min, Li-hua, Qin, Xiao-hong
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2016
Subjects
Applications of Mathematics
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
初始扰动
初边值问题
可压缩Navier-Stokes方程
大时间行为
稀疏波
稳定
绝对温度
绝热指数
35L60
rarefaction wave
compressible Navier-Stokes equations
stability
35L65
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Summary:This paper is concerned with the large-time behavior of solutions to an initial-boundary-value problem for full compressible Navier-Stokes equations on the half line（0,∞）,which is named impermeable wall problem.It is shown that the 3-rarefaction wave is stable under partially large initial perturbation if the adiabatic exponent γ is close to 1.Here partially large initial perturbation means that the perturbation of absolute temperature is small,while the perturbations of specific volume and velocity can be large.The proof is given by the elementary energy method.
Bibliography:compressible Navier-Stokes equations rarefaction wave stability
11-2041/O1
This paper is concerned with the large-time behavior of solutions to an initial-boundary-value problem for full compressible Navier-Stokes equations on the half line（0,∞）,which is named impermeable wall problem.It is shown that the 3-rarefaction wave is stable under partially large initial perturbation if the adiabatic exponent γ is close to 1.Here partially large initial perturbation means that the perturbation of absolute temperature is small,while the perturbations of specific volume and velocity can be large.The proof is given by the elementary energy method.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-016-0546-0