Skip to main content
Log in

Exact time-dependent solutions in the simplest model of chain-flame propagation

  • Mechanics
  • Published:
Doklady Physics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Ya. B. Zel'dovich and D. A. Frank-Kamenetskii, Dokl. Akad. Nauk SSSR 19, 693 (1938).

    Google Scholar 

  2. D. A. Frank-Kamenetskii, Diffusion and Heat Transfer in Chemical Kinetics (Nauka, Moscow, 1987).

    Google Scholar 

  3. Ya. B. Zel'dovich, G. I. Barenblatt, V. B. Librovich, and G. M. Makhviladze, Mathematical Theory of Combustion and Explosion (Nauka, Moscow, 1980).

    Google Scholar 

  4. A. G. Merzhanov and B. I. Khaikin, Prog. Energ. Combust. Sci. 14, 1 (1988).

    Google Scholar 

  5. V. P. Maslov, V. G. Danilov, and K. A. Volosov, Mathematical Modeling of Heat and Mass Transfer Processes (Nauka, Moscow, 1987).

    Google Scholar 

  6. A. I. Vol'pert and I. G. Petrovskii, in Selected Works. Differential Equations (Nauka, Moscow, 1987), pp. 333–358.

    Google Scholar 

  7. O. V. Kaptsov, Mat. Model. 4(8), 31 (1992).

    MathSciNet  Google Scholar 

  8. V. K. Andreev, O. V. Kaptsov, V. V. Pukhnachev, and A. A. Rodionov, Application of Group-Theoretical Methods in Hydrodynamics (Nauka, Novosibirsk, 1994).

    Google Scholar 

  9. O. V. Kaptsov, Mat. Model. 7(3), 107 (1995).

    MATH  MathSciNet  Google Scholar 

  10. O. V. Kaptsov, J. Nonlinear Math. Phys. 4(1), 283 (1995).

    MATH  MathSciNet  Google Scholar 

  11. A. V. Shmidt, Vychisl. Tekhnol. 3(4), 87 (1998).

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Doklady Akademii Nauk, Vol. 375, No. 2, 2000, pp. 188–190.

Original Russian Text Copyright © 2000 by Bykov, Shmidt.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bykov, V.I., Shmidt, A.V. Exact time-dependent solutions in the simplest model of chain-flame propagation. Dokl. Phys. 45, 610–612 (2000). https://doi.org/10.1134/1.1333867

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1333867

Keywords

Navigation