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Chapman-Jouguet detonation profile for a qualitative model

Published online by Cambridge University Press:  17 April 2009

Abdolrahman Razani
Abdolrahman Razani
Affiliation:
Department of Mathematics, Faculty of Science, Imam Khomeini International University, P.O. Box 34194–288, Gazvin, Iran e-mail: razani@ipm.ir
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In this article, the existence of traveling wave fronts for a one step chemical reaction with a natural discontinuous reaction rate function is studied. This discontinuity occurs because of the cold boundary difficulty and implies a discontinuous system of ordinary differential equations. By some general topological arguments in ordinary differential equations, the Chapman-Jouguet detonation for exothermic reactions is shown to exist. In addition, the uniqueness of this wave is considered.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 66 , Issue 3 , December 2002 , pp. 393 - 403
Copyright
Copyright © Australian Mathematical Society 2002

References

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