Ukrainian Mathematical Journal

, Volume 50, Issue 11, pp 1774–1779 | Cite as

Space-time localization in one-dimensional problems with free boundary for nonlinear second-order equations

  • Kh. R. Bittiev
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Abstract

We investigate the effect of space localization and stabilization for finite time for thermal and diffusion processes that take place in active media and are described by nonlinear evolution equations.

Keywords

Variational Principle Free Boundary Active Medium Finite Time Stabilization Time 

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References

  1. 1.
    Yu. A. Mitropol’skii, A. A. Berezovskii, and M. Kh. Shkhanukov, “Space-time localization in problems with free boundary for a nonlinear second-order equation,” Ukr. Mat. Zh., 48, No 2, 202–211 (1996)CrossRefMathSciNetGoogle Scholar
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    L. K. Martinson, “On the finite rate of propagation of heat perturbations in media with constant heat-conductivity factor,” Zh. Vychisl. Mat. Fiz., 16, No 5, 1233–1241 (1976).Google Scholar
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    A. S. Kalashnikov, “On the character of propagation of perturbations in problems of nonlinear heat conduction with absorption,” Zh. Vychisl. Mat. Fiz., 14, No 4, 891–905 (1974).MathSciNetGoogle Scholar
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    A. Friedman, Variational Principles and Free-Boundary Problems, Wiley, New York (1982).MATHGoogle Scholar

Copyright information

© Kluwer Academic/Plenum Publishers 1998

Authors and Affiliations

  • Kh. R. Bittiev
    • 1
  1. 1.Kabardino-Balkar UniversityNII PMANalchik

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