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Thermal stability of continuous media with variable thermophysical characteristics

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Literature cited

  1. 1.

    A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1966).

  2. 2.

    J. E. Marsden and M. McCracken, Hopf Bifurcation and Its Applications, Springer-Verlag, New York (1976).

  3. 3.

    G. Ioss and D. Joseph, Elementary Stability and Bifurcation Theory, Springer-Verlag, New York (1981).

  4. 4.

    D. D. Joseph, Global Stability of Fluid Motions II, Springer-Verlag, New York (1976).

  5. 5.

    T. A. Bondar', “Thermal stability of planar, cylindrical, and spherical c-phase specimens,” Fiz. Goreniya Vzryva, No. 3 (1990).

  6. 6.

    B. P. Demidovich, Lectures on the Mathematical Theory of Stability, Nauka, Moscow (1967).

  7. 7.

    T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, New York (1984).

  8. 8.

    D. A. Frank-Kamenetskii, Diffusion and Heat Transport in Chemical Kinetics [in Russian], Nauka, Moscow (1967).

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 3, pp. 38–45, May–June, 1992.

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Bodnar', T.A. Thermal stability of continuous media with variable thermophysical characteristics. J Appl Mech Tech Phys 33, 342–349 (1992).

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  • Mathematical Modeling
  • Thermal Stability
  • Mechanical Engineer
  • Industrial Mathematic
  • Continuous Medium