Skip to main content
Log in

Critical perturbations in a monostable active medium

  • Published:
Technical Physics Letters Aims and scope Submit manuscript

Abstract

An analysis is made of critical perturbations which initiate the evolution of instability in a monostable active medium described by a reaction-diffusion equation. A group-theoretical analysis of the problem yields an analytic expression for the energy of the critical perturbations. The results may be important for analyses of stability with respect to external perturbations of a wide range of active media.

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.

Similar content being viewed by others

References

  1. V. A. Vasil’ev, Yu. M. Romanovskii, and V. G. Yakhno, Autowave Processes [in Russian], Nauka, Moscow (1987), 240 pp.

    Google Scholar 

  2. A. Vl. Gurevich and R. G. Mints, Thermal Autowaves in Normal Metals and Superconductors [in Russian], IVTAN, Moscow (1987), 168 pp.

    Google Scholar 

  3. A. Vl. Gurevich, R. G. Mints, and A. A. Pukhov, Dokl. Akad. Nauk SSSR Ser. Fiz. 301, 1104 (1988) [Sov. Phys. Dokl. 33, 611 (1988)].

    Google Scholar 

  4. S. V. Petrovskii, Zh. Tekh. Fiz. 64(8), 1 (1994) [Tech. Phys. 39, 747 (1994)].

    Google Scholar 

  5. A. A. Pukhov, Pis’ma Zh. Tekh. Fiz. 24(11), 12 (1998) [Tech. Phys. Lett. 24, 417 (1998)].

    Google Scholar 

  6. N. H. Ibragimov, Transformation Groups Applied to Mathematical Physics (Reidel, Dordrecht, 1985) [Russ. original, Nauka, Moscow, 1983, 280 pp.].

    Google Scholar 

  7. G. W. Bluman and S. Kumei, Symmetries and Differential Equations (Springer-Verlag, New York, 1989, 412 pp.).

    Google Scholar 

  8. L. Dresner, Similarity Solutions of Nonlinear Partial Differential Equations (Pitman, London 1983, 60 pp.).

    Google Scholar 

  9. L. Dresner, IEEE Trans. Magn. 21, 392 (1985).

    Article  Google Scholar 

  10. N. A. Buznikov and A. A. Pukhov, Cryogenics 36, 547 (1996).

    Google Scholar 

  11. A. A. Samarskii, V. A. Galaktionov, S. P. Kurdyumov, and A. P. Mikhailov, Peaking Regimes in Problems for Quasilinear Parabolic Equations [in Russian], Nauka, Moscow (1987), 477 pp.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Pis’ma Zh. Tekh. Fiz. 24, 76–80 (November 26, 1998)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pukhov, A.A. Critical perturbations in a monostable active medium. Tech. Phys. Lett. 24, 899–900 (1998). https://doi.org/10.1134/1.1262308

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1262308

Keywords

Navigation