Geodesic
On the stability of shock waves in reacting gas
Matematičeskoe modelirovanie, Tome 3 (1991) no. 7, pp. 71-77 
A. M. Jiliaev; N. M. Kuznetsov. On the stability of shock waves in reacting gas. Matematičeskoe modelirovanie, Tome 3 (1991) no. 7, pp. 71-77. http://geodesic.mathdoc.fr/item/MM_1991_3_7_a7/
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     author = {A. M. Jiliaev and N. M. Kuznetsov},
     title = {On the stability of shock waves in reacting gas},
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     pages = {71--77},
     year = {1991},
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     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1991_3_7_a7/}
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The stability of shock waves with dissociation of gas molecules is investigated in linear approximation: monomolecular reaction at low pressures, the dissociation kinetics is determined by Arrenius law. The lack of continious spectrum in the right half – plane of the comlex plane is shown. The calculation of the discrete spectrum in a wide range of Mach numbers and flow density were does not lead to the structure instability of shock wave.