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 chemic...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.展开更多
基金the China State Major Key Project for Basic Researchesthe Science Fund of the Ministry of Education of China
文摘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.
