Convergence to the Rarefaction Wave for a Model of Radiating Gas in One-dimension

In this paper, a sequence of solutions to the one-dimensional motion of a radiating gas are con- structed. Furthermore, when the absorption coefficient a tends to oo, the above solutions converge to the rarefaction wave, which is an elementary wave pattern of gas dynamics, with a convergence rate α...

Full description

Saved in:
Bibliographic Details
Published inActa Mathematicae Applicatae Sinica Vol. 32; no. 2; pp. 239 - 256
Main Authors Huang, Fei-min, Li, Xing
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
compressible euler system
hyperbolic-elliptic system
90B22
rarefaction wave
60K25
radiating gas
Online AccessGet full text
ISSN0168-9673
1618-3932
DOI10.1007/s10255-016-0576-7

Cover

More Information
Summary:In this paper, a sequence of solutions to the one-dimensional motion of a radiating gas are con- structed. Furthermore, when the absorption coefficient a tends to oo, the above solutions converge to the rarefaction wave, which is an elementary wave pattern of gas dynamics, with a convergence rate α -1/3｜lnα｜2.
Bibliography:In this paper, a sequence of solutions to the one-dimensional motion of a radiating gas are con- structed. Furthermore, when the absorption coefficient a tends to oo, the above solutions converge to the rarefaction wave, which is an elementary wave pattern of gas dynamics, with a convergence rate α -1/3｜lnα｜2.
rarefaction wave; compressible euler system; radiating gas, hyperbolic-elliptic system
11-2041/O1
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-016-0576-7