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THE ASYMPTOTIC LIMIT FOR A COMBUSTION MODEL IN REGARD TO INFINITE REACTION RATE

THE ASYMPTOTIC LIMIT FOR A COMBUSTION MODEL IN REGARD TO INFINITE REACTION RATE
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摘要 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. 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.
作者 应隆安
出处 《Acta Mathematica Scientia》 SCIE CSCD 2008年第4期924-932,共9页 数学物理学报(B辑英文版)
基金 the China State Major Key Project for Basic Researches the Science Fund of the Ministry of Education of China
关键词 COMBUSTION detonation wave ZND model CJ model finite difference method Combustion, detonation wave, ZND model, CJ model, finite difference method
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