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

doi:10.1016/S0252-9602(08)60092-2

数学物理学报(英文版)

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

应隆安

厦门大学数学学院, 厦门 361005

收稿日期:2005-10-11 修回日期:2006-06-09 出版日期:2008-10-20 发布日期:2008-10-20
通讯作者: 应隆安
基金资助:
This work was supported by the China State Major Key Project for Basic Researches and the Science Fund of the Ministry of Education of China

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

Ying Longan

School of Mathematical Sciences, Xiamen University, Xiamen 361005, China Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences, Peking University, Beijing 100871, China

Received:2005-10-11 Revised:2006-06-09 Online:2008-10-20 Published:2008-10-20
Contact: Ying Longan

摘要/Abstract

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.

关键词: Combustion, detonation wave, ZND model, CJ model, finite difference method

Abstract:

Key words: Combustion, detonation wave, ZND model, CJ model, finite difference method

中图分类号:

35L65

应隆安. THE ASYMPTOTIC LIMIT FOR A COMBUSTION MODEL IN REGARD TO INFINITE REACTION RATE[J]. 数学物理学报(英文版), 2008, 28(4): 924-932.

Ying Longan. THE ASYMPTOTIC LIMIT FOR A COMBUSTION MODEL IN REGARD TO INFINITE REACTION RATE[J]. Acta mathematica scientia,Series B, 2008, 28(4): 924-932.

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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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