References
L. D. Landau and L. M. Lifshitz, Mechanics of Continua [in Russian], Gostekhizdat, 1954.
L. D. Landau, “On the theory of slow combustion,” Zh. eksperim. i teor. fiz., vol. 14, no. 6, 1944.
G. H. Markstein, “Experimental and theoretical studies of flame-front stability,” J. Aeronaut. Sei., vol. 18, no. 3, 1951.
Non-Steady Flame Propagation, ed. G. Markstein, Pergamon Press, New York-London, 1964.
Ya. B. Zel'dovich and A. I. Rozlovskii, “On the conditions for the instability of normal combustion,” DAN SSSR, vol. 57, no. 4, 1947.
Kh. A. Rakipova, Ya. K. Troshchin, and K. I. Shchelkin, “Measurement of the normal flame speeds of acetylene-oxygen mixtures,” Zh. tekhn. fiz., vol. 17, no. 12, 1947.
Ya. K. Troshchin and K. I. Shchelkin, “The structure of spherical flame fronts and the instability of normal combustion,” Izv. AN SSSR, OTN, no. 9, 1955.
K. I. Shchelkin and Ya. K. Troshchin, The Gas Dynamics of Combustion [in Russian], Izd-vo AN SSSR, 1963.
Ya. B. Zel'dovich, Theory of Combustion and Detonation of Gases [in Russian], Izd-vo AN SSSR, 1944.
G. I. Barenblatt, Ya. B. Zel'dovich, and A. G. Istratov, “On the thermal-diffusion stability of a laminar flame,” PMTF, no. 4, 1962.
Ya. B. Zel'dovich, “On a stabilizing effect in curved flame fronts,” PMTF [Journal of Applied Mechanics and Technical Physics], no. 1, 1966.
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In conclusion, we would like to express our gratitude to Ya. B. Zel'dovich f o r suggesting the problem and for his constructive criticism, and to G. I. Barenblatt, O. I. Leipunskii, and Ya. K. Troshchin for their valuable discussions.
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Istratov, A.G., Librovich, V.B. On the stability of propagation of spherical flames. J Appl Mech Tech Phys 7, 43–50 (1966). https://doi.org/10.1007/BF00912830
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DOI: https://doi.org/10.1007/BF00912830