Geodesic
A generalized Zel’dovich--Neumann--D\"oring model of steady gaseous detonation
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2010), pp. 37-43

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A model of $N$-component gas mixture detonation satisfying the kinetic formulation of the mass action law with $n$ ($1\le n\le N-1$) independent reactions is studied. In the framework of this model, it is found that there exist two possible types of self-sustaining detonation waves with asymptotically stable combustion zones. It is shown that it is possible to observe only a strong wave propagating in the Chapman–Jouguet regime relative to the flow on the critical surface. It is also shown that, for a perfect gas mixture, this wave appears only when a combustion zone is formed by one or two reactions. 
@article{VMUMM_2010_5_a6,
     author = {V. M. Gendugov},
     title = {A generalized {Zel{\textquoteright}dovich--Neumann--D\"oring} model of steady gaseous detonation},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {37--43},
     publisher = {mathdoc},
     number = {5},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2010_5_a6/}
}
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V. M. Gendugov. A generalized Zel’dovich--Neumann--D\"oring model of steady gaseous detonation. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2010), pp. 37-43. http://geodesic.mathdoc.fr/item/VMUMM_2010_5_a6/