Geodesic
Stabilization of detonation waves in a supersonic flow
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2011), pp. 28-33

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A supersonic flow in a channel of variable cross-section is studied in a quasi-one-dimensional approximation in the framework of a model of infinitely thin detonation waves. An analytical method is developed to analyze the conditions for the existence of steady flow behind a detonation wave using special coordinates. On the basis of numerical experiments, it is shown that the detonation wave can be stabilized. A stability analysis of the steady state is performed with respect to small heat release disturbances. This analysis allows one to make a selection of the emergent flow pattern. 
@article{VMUMM_2011_4_a4,
     author = {V. A. Levin and I. S. Manuilovich and V. V. Markov},
     title = {Stabilization of detonation waves in a supersonic flow},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {28--33},
     publisher = {mathdoc},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2011_4_a4/}
}
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V. A. Levin; I. S. Manuilovich; V. V. Markov. Stabilization of detonation waves in a supersonic flow. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2011), pp. 28-33. http://geodesic.mathdoc.fr/item/VMUMM_2011_4_a4/