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Trends in Nonlinear Analysis

  • Conference proceedings
  • © 2003

Overview

Editors:
  1. Markus Kirkilionis

    1. Mathematics Department and Center for Scientific Computing, University of Warwick, Coventry, UK

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  2. Susanne Krömker

    1. Institute of Scientific Computing, University of Heidelberg, Heidelberg, Germany

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  3. Rolf Rannacher

    1. Institute of Applied Mathematics, University of Heidelberg, Heidelberg, Germany

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  4. Friedrich Tomi

    1. Department of Mathematics, University of Heidelberg, Heidelberg, Germany

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Table of contents (11 papers)

  1. Front Matter

    Pages I-XV
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  2. Interview with Willi Jäger

    • Willi Jäger, Markus Kirkilionis, Susanne Krömker, Rolf Rannacher, Friedrich Tomi
    Pages 1-21

  3. Spatio-Temporal Dynamics of Reaction-Diffusion Patterns

    • Bernold Fiedler, Arnd Scheel
    Pages 23-152

  4. Some Nonclassical Trends in Parabolic and Parabolic-like Evolutions

    • Paul Fife
    Pages 153-191

  5. Mathematical Aspects of Design of Beam Shaping Surfaces in Geometrical Optics

    • Vladimir Oliker
    Pages 193-224

  6. Recent Developments in Multiscale Problems Coming from Fluid Mechanics

    • Andro Mikelić
    Pages 225-267

  7. From Molecular Dynamics to Conformation Dynamics in Drug Design

    • Peter Deuflhard
    Pages 269-287

  8. A Posteriori Error Estimates and Adaptive Methods for Hyperbolic and Convection Dominated Parabolic Conservation Laws

    • Dietmar Kröner, Marc Küther, Mario Ohlberger, Christian Rohde
    Pages 289-306

  9. On Anisotropic Geometric Diffusion in 3D Image Processing and Image Sequence Analysis

    • Karol Mikula, Tobias Preußer, Martin Rumpf, Fiorella Sgallari
    Pages 307-321

  10. Population Dynamics: A Mathematical Bird’s Eye View

    • Odo Diekmann, Markus Kirkilionis
    Pages 323-340

  11. Did Something Change? Thresholds in Population Models

    • Frank Hoppensteadt, Paul Waltman
    Pages 341-374

  12. Multiscale Modeling of Materials — the Role of Analysis

    • Sergio Conti, Antonio DeSimone, Georg Dolzmann, Stefan Müller, Felix Otto
    Pages 375-408

  13. Back Matter

    Pages 409-419
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Keywords

About this book

Applied mathematics is a central connecting link between scientific observations and their theoretical interpretation. Nonlinear analysis has surely contributed major developments which nowadays shape the face of applied mathematics. At the beginning of the millennium, all sciences are expanding at increased speed. Technological, ecological, economical and medical problem solving is a central issue of every modern society. Mathematical models help to expose fundamental structures hidden in these problems and serve as unifying tools to deepen our understanding. What are the new challenges applied mathematics has to face with the increased diversity of scientific problems? In which direction should the classical tools of nonlinear analysis be developed further? How do new available technologies influence the development of the field? How can problems be solved which have been beyond reach in former times? It is the aim of this book to explore new developments in the field by way of discussion of selected topics from nonlinear analysis.

Editors and Affiliations

  • Mathematics Department and Center for Scientific Computing, University of Warwick, Coventry, UK

    Markus Kirkilionis

  • Institute of Scientific Computing, University of Heidelberg, Heidelberg, Germany

    Susanne Krömker

  • Institute of Applied Mathematics, University of Heidelberg, Heidelberg, Germany

    Rolf Rannacher

  • Department of Mathematics, University of Heidelberg, Heidelberg, Germany

    Friedrich Tomi

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