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Use of a hyperbolic equation in thermal-conductivity theory

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Abstract

A solution of the telegraph equation is given which is close to a self-similar solution.

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Literature cited

  1. 1.

    A. A. Vlasov, Statistical Distribution Functions [in Russian], Nauka, Moscow (1966).

  2. 2.

    A. V. Lykov, Theory of Thermal Conductivity [in Russian], Vysshaya Shkola, Moscow (1967).

  3. 3.

    A. Ango, Mathematics for Electronic and Radio Engineers [in Russian], Nauka, Moscow (1964).

  4. 4.

    L. Schwartz, Mathematical Methods for Physical Scientists, Hermann, Paris (1961).

  5. 5.

    S. K. Godunov, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1971).

  6. 6.

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

  7. 7.

    C. Cattaneo, C. R.,247, No. 4, 431 (1958).

  8. 8.

    P. Vernotte, C. R.,246, No. 22, 3154 (1958).

  9. 9.

    A. V. Luikov, V. A. Bubnov, and I. A. Soloviev, Int. J. Heat Mass Transfer,19, 245 (1976).

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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 33, No. 6, pp. 1131–1135, December, 1977.

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Bubnov, V.A., Solov'ev, I.A. Use of a hyperbolic equation in thermal-conductivity theory. Journal of Engineering Physics 33, 1512–1515 (1977). https://doi.org/10.1007/BF00865396

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Keywords

  • Statistical Physic
  • Hyperbolic Equation
  • Telegraph Equation