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Existence of the Classic Solution of a Two Phase Multidimensional Stefan Problem on Any Finite Time Interval

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Free Boundary Problems in Continuum Mechanics

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Abstract

A method introduced in this paper makes possible to prove the existence of the classic solution in a two phase multidimensional Stefan problem on any finite time interval and to establish the smoothness of free (unknown) boundary.

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References

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Author information

Authors and Affiliations

  1. Donetsk State University, Donetsk, 340055, Ukraine

    M. A. Borodin

Authors
  1. M. A. Borodin
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Editor information

Editors and Affiliations

  1. Lavrentyev Institute of Hydrodynamics, Novosibirsk, 630090, Russia

    S. N. Antontsev  & A. M. Khludnev  & 

  2. Institut für Angewandte Mathematik und Statistik, Dachauer Str. 9 a, München, D-W-8000, Germany

    K.-H. Hoffmann

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© 1992 Springer Basel AG

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Borodin, M.A. (1992). Existence of the Classic Solution of a Two Phase Multidimensional Stefan Problem on Any Finite Time Interval. In: Antontsev, S.N., Khludnev, A.M., Hoffmann, KH. (eds) Free Boundary Problems in Continuum Mechanics. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 106. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8627-7_11

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  • DOI: https://doi.org/10.1007/978-3-0348-8627-7_11

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9705-1

  • Online ISBN: 978-3-0348-8627-7

  • eBook Packages: Springer Book Archive

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