The asymptotic limit for a combustion model in regard to infinite reaction rate |
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| Authors: | Ying Longan |
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| Institution: | [1]School of Mathematical Sciences, Xiamen University, Xiamen 361005, China [2]Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences Peking University, Beijing 100871, China |
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| Abstract: | The Zeldovich-von Neumann-Doring model and the Chapman-Jouguet model for a simplified combustion model-Majda's model is studied. The author proves a uniform maximum norm estimate, then proves that as the rate of chemical reaction tends to infinity the solutions to the Zeldovich-von Neumann-Doring model tend to that of the Chapman-Jouguet model. The type of combustion waves is studied. This result is compared with the result of the projection and finite difference method for the same model. |
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| Keywords: | Combustion detonation wave ZND model CJ model finite difference method |
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