Skip to main content
SpringerLink
Log in

The nonuniqueness in a model for phase transitions in binary alloys

  • Chapter
Numerical Methods for Free Boundary Problems

  • 219 Accesses

Abstract

The nonuniqueness theorem for a self-similar solution in a model for phase transitions in binary mixtures has been proved. The existence of the generalized solution and the stability criterion are 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. Götz, I.G. and Meirmanov, A. M., Modelling binary alloy solidification processes, (Russian), Zh. Pricl. M.kh. Tech. Phis. 4 (1989), 39–45.

    Google Scholar 

  2. Donnelly, J. D. P., A model for non-equilibrum thermodynamic processes involving phase changes, J. Inst. Maths. Applies. 24 (1979), 425–438.

    Article  Google Scholar 

  3. Luckhaus, S. and Visintin, A., Phase transition in multicomponent systems, Manuscripta Math. 43 (1983), 261–288.

    Article  Google Scholar 

  4. Crowley, A. B. and Ockendon, J.R., On the numerical solution of an alloy solidification problem, Int. J. Heat Mass Transfer 22 (1979), 941–947.

    Article  Google Scholar 

  5. Fix, G.J., Numerical method for alloy solidification problems, Moving boundary problems, Wilson, D., Solomon, A.D., Boggs, P.S, Ed. Academic Press (1978), 109–128.

    Google Scholar 

  6. Götz, I.G., Self-similar solution of the problem on solidification of binary alloy, (Russian), Novosibirsk: Dinamika Sploshnoi Sredy 76 (1986), 74–89.

    Google Scholar 

  7. Götz, I.G., On the correctness of a model for phase transitions in binary alloys,European J. Appl. Math., in press (1990).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Lavrentyev Institute of Hydrodynamics, Siberian Branch, Academy of Sciences of the USSR, Novosibirsk, 630090, USSR

    I. G. Götz

Authors
  1. I. G. Götz
    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. (1991). The nonuniqueness in a model for phase transitions in binary alloys. 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_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-5715-4_12

  • 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