Journal of engineering physics

, Volume 24, Issue 1, pp 102–104 | Cite as

A proof for the quasisteady method of solving the Stefan problem

  • G. D. Babe
  • M. A. Kanibolotskii


The location limit for the interphase boundary is found in the region exterior to a sphere with a finite radius. It is shown that the solution to the Stefan problem for this region by the method of quasisteady states approaches the same limit as t →∞.


Statistical Physic Interphase Boundary Location Limit Stefan Problem Region Exterior 
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Literature cited

  1. 1.
    A. V. Lykov, Theory of Heat Conduction [in Russian], Vysshaya Shkola, Moscow (1967).Google Scholar
  2. 2.
    U. Rudin, Principles of Mathematical Analysis [Russian translation], Mir, Moscow (1966).Google Scholar
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    A. Friedman, Equations of the Parabolic Kind [Russian translation], Mir, Moscow (1967).Google Scholar
  4. 4.
    I. G. Petrovskii, Lectures on the Theory of Ordinary Differential Equations [in Russian], GITTL, Moscow (1952).Google Scholar

Copyright information

© Plenum Publishing Corporation 1975

Authors and Affiliations

  • G. D. Babe
    • 1
  • M. A. Kanibolotskii
    • 1
  1. 1.Northern Institute of Physicotechnical Problems, Siberian BranchAcademy of Sciences of the USSRIrkutsk

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