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Conical shock waves for an isentropic Euler system

Published online by Cambridge University Press:  12 July 2007

Shuxing Chen  and
Dening Li
Shuxing Chen
Affiliation:
Institute of Mathematics, Fudan University, Shanghai, People's Republic of China (sxchen@public8.sta.net.cn)
Dening Li
Affiliation:
Department of Mathematics, 4098 Armstrong Hall, West Virginia University, Morgantown, WV 26506, USA (li@math.wvu.edu)
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Abstract

Conical shock waves are generated as sharp conical solid projectiles fly supersonically in the air. We study such conical shock waves in steady supersonic flow using an isentropic Euler system. The stability of such attached conical shock waves for non-symmetrical conical projectiles and non-uniform incoming supersonic flow is established. Meanwhile, the existence of the solution to the Euler system with such attached conical shock as a free boundary is also proved for solid projectiles close to a regular solid cone.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 6 , December 2005 , pp. 1109 - 1127
Copyright
Copyright © Royal Society of Edinburgh 2005

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