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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
Article
  • 17 Downloads

Abstract

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 →∞.

Keywords

Statistical Physic Interphase Boundary Location Limit Stefan Problem Region Exterior 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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
  3. 3.
    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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