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The global Hölder-continuous solution of isentropic gas dynamics

Published online by Cambridge University Press:  14 November 2011

Yun-Guang Lu
Yun-Guang Lu
Affiliation:
Institute of Mathematical Sciences, Academia Sinica, P.O. Box 71007, Wuhan 430071, People's Republic of China
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Synopsis

This paper considers the Cauchy problem for the isentropic equations of gas dynamics in Euler coordinates ρt + (ρu)x = 0, (ρu)t + (ρu)2 + P(ρ))x=0 and gives the Hölder-continuous solution by applying the method of vanishing viscosity.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 123 , Issue 2 , 1993 , pp. 231 - 238
Copyright
Copyright © Royal Society of Edinburgh 1993

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References

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