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Convergence to the rarefaction wave for a model of radiating gas in one-dimension

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 constructed. Furthermore, when the absorption coefficient α tends to ∞, the above solutions converge to the rarefaction wave, which is an elementary wave pattern of gas dynamics, with a convergence rate $$\alpha ^{ - \tfrac{1} {3}} \left| {\ln \alpha } \right|^2$$ . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Convergence to the rarefaction wave for a model of radiating gas in one-dimension

Acta Mathematicae Applicatae Sinica , Volume 32 (2) – Apr 29, 2016

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Publisher
Springer Journals
Copyright
Copyright © 2016 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-016-0576-7
Publisher site
See Article on Publisher Site

Abstract

In this paper, a sequence of solutions to the one-dimensional motion of a radiating gas are constructed. Furthermore, when the absorption coefficient α tends to ∞, the above solutions converge to the rarefaction wave, which is an elementary wave pattern of gas dynamics, with a convergence rate $$\alpha ^{ - \tfrac{1} {3}} \left| {\ln \alpha } \right|^2$$ .

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Apr 29, 2016

References