Skip to main content
SpringerLink
Log in

On the behaviour of mushy region in a Stefan problem

  • Chapter
Numerical Methods for Free Boundary Problems

Abstract

The disappearance of the mushy region in the multidimensional Stefan problem is discussed here. One-phase problem is investigated completely from that point of view. Some criteria of disappearance of the mushy region in the two-phase Stefan problem are suggested. The behaviour of the mushy region in a corner point of domain is studied.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Meirmanov A. M., The structure of a generalized solution of the Stefan problem. Periodic solutions., Dokl.Akad.Nauk SSSR 272, No 4, (1983), 789–791;

    Google Scholar 

  2. Meirmanov A. M., English transi. in Soviet Math. Docl. 28 no 2, (1983), 440–443.

    Google Scholar 

  3. Meirmanov A. M., On the disappearance of the mushy region in the Stefan problem with spherical symmetry., Dinamika sploshnoi sredy, Lavrentyev Institute of Hydrodynamics 91 (1989), 86–99.

    Google Scholar 

  4. Rogers J.C.W., Berger A.E., Some properties of the nonlinear semigroup for the problem ut-f(u) = 0., Nonlinear Anal., Theory Methods Si Applications V. 8, no 8 (1984), 909–939.

    Article  Google Scholar 

  5. Götz I.G, Zaltzman B.B., Nonincrease of mushy region in a nonhomogenous Stefan problem,To be published in Quarterly of Applied Mathematics.

    Google Scholar 

  6. Gustafsson B, Mossino J., Quelques inequalites isoperimetriques pour le probleme de Stefan, Math. Analysis. C.R.Acad. Sci.Paris 305 Ser. 1, 669–672.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Ivan Gotlibovich Laurent’ev Institute of Hydrodynamics Siberian Branch, Academy of Sciences of the USSR, Novosibirsk, 630090, USSR

    I. G. Götz

  2. Boris Borisovich Institute of Water and Ecological Problems Siberian Branch, Academy of Sciences of the USSR, Novosibirsk, 630090, USSR

    B. B. Zaltzman

Authors
  1. I. G. Götz
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. B. Zaltzman
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Jyväskylä, P.O. Box 35, SF-40351, Jyväskylä, Finland

    P. Neittaanmäki

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer Basel AG

About this chapter

Cite this chapter

Götz, I.G., Zaltzman, B.B. (1991). On the behaviour of mushy region in a Stefan problem. In: Neittaanmäki, P. (eds) Numerical Methods for Free Boundary Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 99. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5715-4_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-5715-4_13

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5717-8

  • Online ISBN: 978-3-0348-5715-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation