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Free Boundary Problems

Theory and Applications

  • Conference proceedings
  • © 2004

Overview

Editors:
  1. Pierluigi Colli

    1. Dipartimento di Matematica, Università di Pavia, Pavia, Italy

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  2. Claudio Verdi

    1. Dipartimento di Matematica, Università di Milano, Milano, Italy

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  3. Augusto Visintin

    1. Dipartimento di Matematica, Povo di Trento, Italy

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  • 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
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  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. Crystal Growth and Impingement in Polymer Melts

    • Martin Burger
    Pages 65-74

  7. Moving Bands and Moving Boundaries in an Hybrid Model for the Crystallization of Polymers

    • Vincenzo Capasso, Ramon Escobedo, Claudia Salani
    Pages 75-86

  8. Upscaling of Well Singularities in the Flow Transport through Heterogeneous Porous Media

    • Zhiming Chen, Xingye Yue, Xingye Yue
    Pages 87-101

  9. On Plasma Expansion in Vacuum

    • Pierre Degond, Céline Parzani, Marie-Hélène Vignal
    Pages 103-112

  10. Towards the Thermodynamic Modeling of Nucleation and Growth of Liquid Droplets in Single Crystals

    • Wolfgang Dreyer, Frank Duderstadt
    Pages 113-130

  11. On the Intermediate Surface Diffusion Flow

    • Joachim Escher, Kazuo Ito
    Pages 131-138

  12. Solid Core Revisited

    • Antonio Fasano, Alberto Mancini, Riccardo Ricci
    Pages 139-149

  13. Transmission-Stefan Problems Arising in Czochralski Process of Crystal Growth

    • Takesi Fukao, Nobuyuki Kenmochi, Irena Pawlow
    Pages 151-165

  14. Quasi-static Melting of Crystals: Experiments and Analysis

    • Martin E. Glicksman, Afina Lupulescu, Matthew B. Koss
    Pages 167-175

  15. A Reduced Model for Simulating Grain Growth

    • Reiner Henseler, Barbara Niethammer, Felix Otto
    Pages 177-187

  16. On a Reaction-Diffusion System for a Population of Hunters and Farmers

    • Danielle Hilhorst, Masayasu Mimura, Rémi Weidenfeld
    Pages 189-196

  17. The Stochastic Geometry of the Crystallization Process of Polymers

    • Alessandra Micheletti, Vincenzo Capasso
    Pages 197-205

  18. A Posteriori Error Control of Free Boundary Problems

    • Ricardo H. Nochetto
    Pages 207-223

  19. The Total Variation Flow

    • Matteo Novaga
    Pages 225-236

  20. A Mathematical Model for Diffusion-induced Grain Boundary Motion

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

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

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