Skip to main content

Free Boundary Problems and Phase Transitions

  • Chapter
Applied Partial Differential Equations
  • 3344 Accesses

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover 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. M.D. Betterton, Theory of Structure Formation in Snowfields motivated by Penitentes, Suncups, and Dirt Cones, Physical Review E, Vol. 63, 2001

    Google Scholar 

  2. L. Caffarelli, The Obstacle Problem, Fermi Lectures, Scuola Norm. Sup. di Pisa, 1998

    Google Scholar 

  3. N. Calvo, J.I. Diaz, J. Durany, E. Schiavi and C. Vazquez, On a Doubly Nonlinear Parabolic Obstacle Problem modeling large Ice Sheet Dynamics, SIAM J. Appl. Math., Vol. 63, No. 2, pp. 683–707, 2002

    Article  MATH  Google Scholar 

  4. A. Friedman, Variational Principles and Free-Boundary Problems, Wiley-Interscience, New York, 1982

    MATH  Google Scholar 

  5. W.S.B. Paterson, Physics of Glaciers, Elsevier, 2000

    Google Scholar 

  6. C. Schoof, Mathematical Models of Glacier Sliding and Drumlin Formation, Ph.D. thesis, University of Oxford, 2002

    Google Scholar 

  7. J. Stefan, Über die Theorie der Eisbildung, insbesondere über die Eisbildung im Polarmeere, Annalen der Physik und Chemie, 42, pp. 269–286, 1891

    Google Scholar 

  8. A.M. Meirmanov, The Stefan Problem, de Gruyter Expositions in Mathematics 3, 1992

    Google Scholar 

  9. M. Paolini, Fromthe Stefan Problemto Crystalline Evolution, Lecture Notes, 2002

    Google Scholar 

  10. A. Visintin, Models of Phase Transitions, Birkhäuser-Boston, Series: Progress in Nonlinear Differential Equations, Vol. 28, 1996

    Google Scholar 

  11. C. Vuik, Some historical notes about the Stefan problem, Nieuw Archief voor Wiskunde, 4e serie, 11, pp. 157–167, 1993

    MATH  Google Scholar 

Download references

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

(2007). Free Boundary Problems and Phase Transitions. In: Applied Partial Differential Equations. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34646-3_7

Download citation

Publish with us

Policies and ethics