Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Mixed type equations in gas dynamics

Author: Shuxing Chen
Journal: Quart. Appl. Math. 68 (2010), 487-511
MSC (2000): Primary 35L65; Secondary 35L67
DOI: https://doi.org/10.1090/S0033-569X-2010-01164-9
Published electronically: May 21, 2010
MathSciNet review: 2676973
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Abstract: The paper is mainly concerned with mixed type partial differential equations and their connections with transonic flow. Some typical problems in gas dynamics related to the mixed type equations are presented and analyzed. In the meantime, the crucial points on the study of these problems, including some recent developments and new approaches, are introduced.

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Shuxing Chen
Affiliation: School of Mathematical Sciences, Fudan University, Shanghai, 200433, People’s Republic of China
Email: sxchen@public8.sta.net.cn

DOI: https://doi.org/10.1090/S0033-569X-2010-01164-9
Keywords: Mixed type equation, Tricomi equation, Keldysh equation, Lavrentiev equation, transonic flow, Mach configuration
Received by editor(s): November 20, 2008
Published electronically: May 21, 2010
Article copyright: © Copyright 2010 Brown University
The copyright for this article reverts to public domain 28 years after publication.

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