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  • Conference proceedings
  • © 2004

Free Boundary Problems

Theory and Applications

Birkhäuser
  • Represents the state of the art in free boundary problems
  • Contributions originate from a focussed conference in Trento, June 2002, which is the ninth of its kind

Part of the book series: International Series of Numerical Mathematics (ISNM, volume 147)

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Table of contents (26 papers)

  1. Front Matter

    Pages i-viii
  2. Structural Optimization by the Level-Set Method

    • Grégoire Allaire, François Jouve, Anca-Maria Toader
    Pages 1-15
  3. On a Variational Problem Arising in Image Reconstruction

    • Luigi Ambrosio, Simon Masnou
    Pages 17-26
  4. Ill-Posed Hele—Shaw Flows

    • Daniele Andreucci, Giovanni Caruso, Emmanuele DiBenedetto
    Pages 27-51
  5. Finite Element Methods for Surface Diffusion

    • Eberhard Bänsch, Pedro Morin, Ricardo H. Nochetto
    Pages 53-63
  6. Moving Bands and Moving Boundaries in an Hybrid Model for the Crystallization of Polymers

    • Vincenzo Capasso, Ramon Escobedo, Claudia Salani
    Pages 75-86
  7. On Plasma Expansion in Vacuum

    • Pierre Degond, Céline Parzani, Marie-Hélène Vignal
    Pages 103-112
  8. On the Intermediate Surface Diffusion Flow

    • Joachim Escher, Kazuo Ito
    Pages 131-138
  9. Solid Core Revisited

    • Antonio Fasano, Alberto Mancini, Riccardo Ricci
    Pages 139-149
  10. Transmission-Stefan Problems Arising in Czochralski Process of Crystal Growth

    • Takesi Fukao, Nobuyuki Kenmochi, Irena Pawlow
    Pages 151-165
  11. Quasi-static Melting of Crystals: Experiments and Analysis

    • Martin E. Glicksman, Afina Lupulescu, Matthew B. Koss
    Pages 167-175
  12. A Reduced Model for Simulating Grain Growth

    • Reiner Henseler, Barbara Niethammer, Felix Otto
    Pages 177-187
  13. On a Reaction-Diffusion System for a Population of Hunters and Farmers

    • Danielle Hilhorst, Masayasu Mimura, Rémi Weidenfeld
    Pages 189-196
  14. The Stochastic Geometry of the Crystallization Process of Polymers

    • Alessandra Micheletti, Vincenzo Capasso
    Pages 197-205
  15. A Posteriori Error Control of Free Boundary Problems

    • Ricardo H. Nochetto
    Pages 207-223
  16. The Total Variation Flow

    • Matteo Novaga
    Pages 225-236
  17. A Mathematical Model for Diffusion-induced Grain Boundary Motion

    • Oliver Penrose, J. W. Cahn
    Pages 237-254

About this book

Many phenomena of interest for applications are represented by differential equations which are defined in a domain whose boundary is a priori unknown, and is accordingly named a "free boundary". A further quantitative condition is then provided in order to exclude indeterminacy. Free boundary problems thus encompass a broad spectrum which is represented in this state-of-the-art volume by a variety of contributions of researchers in mathematics and applied fields like physics, biology and material sciences. Special emphasis has been reserved for mathematical modelling and for the formulation of new problems.

Editors and Affiliations

  • Dipartimento di Matematica, Università di Pavia, Pavia, Italy

    Pierluigi Colli

  • Dipartimento di Matematica, Università di Milano, Milano, Italy

    Claudio Verdi

  • Dipartimento di Matematica, Povo di Trento, Italy

    Augusto Visintin

Bibliographic Information

  • Book Title: Free Boundary Problems

  • Book Subtitle: Theory and Applications

  • Editors: Pierluigi Colli, Claudio Verdi, Augusto Visintin

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-7893-7

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 2004

  • Hardcover ISBN: 978-3-7643-2193-2Published: 27 November 2003

  • Softcover ISBN: 978-3-0348-9613-9Published: 24 October 2012

  • eBook ISBN: 978-3-0348-7893-7Published: 06 December 2012

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: VIII, 347

  • Topics: Partial Differential Equations, Numerical Analysis

Buy it now

Buying options

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
Hardcover Book USD 109.99
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

Other ways to access