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Nonlinear PDE’s in Condensed Matter and Reactive Flows

  • Book
  • © 2002

Overview

Editors:
  1. Henri Berestycki

    1. Ecole des hautes Etudes en Sciences Sociales, Paris, France

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    You can also search for this editor in PubMed   Google Scholar

  2. Yves Pomeau

    1. Ecole Normale Supérieure, CNRS, Paris, France

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Nato Science Series C: (ASIC, volume 569)

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Table of contents (25 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Part I

    1. A Two-Species Reaction-Diffusion Problem with One Static Reactant: The Case of Higher Order Kinetics

      • M. Z. Bazant, H. A. Stone
      Pages 1-10

    2. The Influence of Advection on the Propagation of Fronts in Reaction-Diffusion Equations

      • H. Berestycki
      Pages 11-48

    3. Instabilities and Nonlinear Patterns of Overdriven Detonations in Gases

      • Paul Clavin
      Pages 49-97

    4. Ends of Laminar Flamelets: Their Structure, Behaviour and Implications

      • J. W. Dold
      Pages 99-113

    5. On Some Reaction-Diffusion Systems with Nonlinear Diffusion Arising in Biology

      • E. Feireisl, M. Mimura, D. Hilhorst, R. Weidenfeld
      Pages 115-125

    6. Control of Weakly Blowing up Semilinear Heat Equations

      • E. Fernández-Cara, E. Zuazua
      Pages 127-148

    7. Spirals in Excitable Media

      • V. Hakim
      Pages 149-167

    8. Conical-Shaped Travelling Fronts Allied to the Mathematical Analysis of the Shape of Premixed Bunsen Flames

      • F. Hamel, R. Monneau
      Pages 169-187

    9. Numerical Modelling of High Speed and Low Speed Combustion

      • Rupert Klein
      Pages 189-226

    10. Lectures on Wave Turbulence and Intermittency

      • A. Newell
      Pages 227-271

    11. Overdetermined Elliptic Problems in Physics

      • B. Sirakov
      Pages 273-295

    12. Partial Differential Equations in Thin Film Flows in Fluid Dynamics and Rivulets

      • H. A. Stone
      Pages 297-312
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Keywords

About this book

Nonlinear partial differential equations abound in modern physics. The problems arising in these fields lead to fascinating questions and, at the same time, progress in understanding the mathematical structures is of great importance to the models. Nevertheless, activity in one of the approaches is not always sufficiently in touch with developments in the other field. The book presents the joint efforts of mathematicians and physicists involved in modelling reactive flows, in particular superconductivity and superfluidity. Certain contributions are fundamental to an understanding of such cutting-edge research topics as rotating Bose-Einstein condensates, Kolmogorov-Zakharov solutions for weak turbulence equations, and the propagation of fronts in heterogeneous media.

Editors and Affiliations

  • Ecole des hautes Etudes en Sciences Sociales, Paris, France

    Henri Berestycki

  • Ecole Normale Supérieure, CNRS, Paris, France

    Yves Pomeau

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