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Free Boundary Value Problems

Proceedings of a Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, July 9–15, 1989

  • Conference proceedings
  • © 1990

Overview

Editors:
  1. K.-H. Hoffmann

    1. Institut für Mathematik, Universität Augsburg, Augsburg, Germany

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  2. J. Sprekels

    1. Fachbereich 10 — Bauwesen, Universität-GH Essen, Essen, Germany

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: International Series of Numerical Mathematics (ISNM, volume 95)

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Table of contents (16 papers)

  1. Front Matter

    Pages I-VII
    Download chapter PDF

  2. Dynamics of Non-Isothermal Phase Separation

    • Hans Wilhelm Alt, Irena Pawlow
    Pages 1-26

  3. Temperature Dependence of Hysteresis in Pseudoelasticity

    • Michel Bornert, Ingo Müller
    Pages 27-35

  4. The Numerical Solution of a Continuous Casting Problem

    • J. N. Dewynne, S. D. Howison, John R. Ockendon
    Pages 36-45

  5. Global Existence and Stability of Solutions to the Phase Field Equations

    • C. M. Elliott, Zheng Songmu
    Pages 46-58

  6. Damping of Shallow Water Waves

    • Ronald B. Guenther, John A. Crow
    Pages 59-65

  7. On One Identification Problem in Linear Elasticity

    • J. Haslinger, P. Neittaanmäki
    Pages 66-84

  8. Regularity, Uniqueness and Numerical Experiments for a Relaxed Optimal Design Problem

    • Bernhard Kawohl
    Pages 85-100

  9. A New Proof of the Uniqueness of Solutions to Two-Phase Stefan Problems for Nonlinear Parabolic Equations

    • Nobuyuki Kenmochi
    Pages 101-126

  10. Periodic Stability of Flow in Partially Saturated Porous Media

    • Nobuyuki Kenmochi, Masahiro Kubo
    Pages 127-152

  11. Numerical Solution of Diffusion Problems with Non-Local Free Boundary Conditions

    • Gunter H. Meyer
    Pages 153-164

  12. Computing Stability Bounds for Thermocapillary Convection in a Crystal-Growth Free Boundary Problem

    • Hans D. Mittelmann
    Pages 165-180

  13. Selfadaptive Mesh Modification for Parabolic FBPs: Theory and Computation

    • R. H. Nochetto, M. Paolini, C. Verdi
    Pages 181-206

  14. Optimal Control of Systems Governed by Hemivariational Inequalities. Necessary Conditions

    • P. D. Panagiotopoulos
    Pages 207-228

  15. On a Steady-State Two-Phase Stefan Problem with Extraction

    • José Francisco Rodrigues
    Pages 229-240

  16. Numerical Solution of Hydrodynamic Free Boundary Problems

    • Joel C. W. Rogers, William G. Szymczak, Alan E. Berger, Jay M. Solomon
    Pages 241-266

  17. A Finite-Element Approximation of Stefan Problems in Heterogeneous Media

    • Tomáš Roubíček
    Pages 267-275
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Keywords

About this book

This monograph contains a collection of 16 papers that were presented at the confer­ ence "Free Boundary Problems: Numerical 7reatment and Optimal Control", held at the Mathematisches Forschungsinstitut Oberwolfach, West Germany, July 9-15, 1989. It was the aim of the organizers of the meeting to bring together experts from different areas in the broad field of free boundary problems, where a certain emphasis was given to the numerical treatment and optimal control of free boundary problems. However, during the conference also a number papers leading to important new theoretical insights were presented. The strong connection between theory and applications finds its reflection in this monograph which contains papers of high theoretical and numerical interest, as well as applications to important practical problems. Many of the contributions are concerned with phase transition phenomena, a field which was of particular importance during the meeting; topics like spinodal decomposition, shape memory alloys, crystal growth and flow through porous media are addressed. Another field of major interest during the con­ ference was fluid flow; also this field is addressed in this volume. The volume opens with a contribution by H. W. Alt and I. Pawlow. In their paper the problem of spinodal decomposition is treated in the non-isothermal situation. For the first time the existence of a weak solution to the corresponding system of evolution equations could be proved. The results of some numerical experiments are also reported. In the following paper, M. Bornert and I.

Editors and Affiliations

  • Institut für Mathematik, Universität Augsburg, Augsburg, Germany

    K.-H. Hoffmann

  • Fachbereich 10 — Bauwesen, Universität-GH Essen, Essen, Germany

    J. Sprekels

Bibliographic Information

  • Book Title: Free Boundary Value Problems

  • Book Subtitle: Proceedings of a Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, July 9–15, 1989

  • Editors: K.-H. Hoffmann, J. Sprekels

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-7301-7

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Verlag Basel 1990

  • Softcover ISBN: 978-3-7643-2474-2Published: 01 June 1990

  • eBook ISBN: 978-3-0348-7301-7Published: 08 March 2013

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: VIII, 276

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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