Weak and strong detonation profiles for a qualitative model |
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| Authors: | Abdolrahman Razani |
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| Institution: | a Department of Mathematics, Faculty of Science, Imam Khomeini International University, P.O. Box 34194-288, Gazvin, Iran
b Institute for Studies in Theoretical Physics and Mathematics (IPM), P.O. Box 19395-5746, Tehran, Iran |
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| Abstract: | In this article, the unidirectional travelling wave fronts for a qualitative model in combustion are studied. The model is considered for a simple R→P kind of chemical reaction. By proving a general theorem of ODE's, the weak and strong detonations for exothermic reactions are shown to exist. The uniqueness of these waves are also considered. |
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