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Partial Differential Equations Arising from Physics and Geometry
A Volume in Memory of Abbas Bahri

$115.00 (C)

Part of London Mathematical Society Lecture Note Series

Mohamed Ben Ayed, Mohamed Ali Jendoubi, Yomna Rebai, Hassna Riahi, Hatem Zaag, Asma Azaiez, Nader Masmoudi, Hajer Bahouri, Jean-Yves Chemin, Isabelle Gallagher, Fabrice Bethuel, Didier Smets, Thierry Cazenave, Seifeddine Snoussi, Francesca de Marchis, Isabella Ianni, Filomena Pacella, Aseel Farhat, Evelyn Lunasin, Edriss S. Titi, Najoua Gamara, Alain Haraux, Angela Pistoia, Giusi Vaira, Luc Tartar
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  • Date Published: June 2019
  • availability: In stock
  • format: Paperback
  • isbn: 9781108431637

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About the Authors
  • In this edited volume leaders in the field of partial differential equations present recent work on topics in PDEs arising from geometry and physics. The papers originate from a 2015 research school organized by CIMPA and MIMS in Hammamet, Tunisia to celebrate the 60th birthday of the late Professor Abbas Bahri. The opening chapter commemorates his life and work. While the research presented in this book is cutting-edge, the treatment throughout is at a level accessible to graduate students. It includes short courses offering readers a unique opportunity to learn the state of the art in evolution equations and mathematical models in physics, which will serve as an introduction for students and a useful reference for established researchers. Finally, the volume includes many open problems to inspire the next generation.

    • Covers the state of the art in partial differential equations
    • Presents an excellent graduate-level overview covering a variety of topics related to PDEs
    • Authored by leading specialists in the field
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    Product details

    • Date Published: June 2019
    • format: Paperback
    • isbn: 9781108431637
    • length: 470 pages
    • dimensions: 228 x 152 x 27 mm
    • weight: 0.67kg
    • contains: 1 b/w illus.
    • availability: In stock
  • Table of Contents

    Preface Mohamed Ben Ayed, Mohamed Ali Jendoubi, Yomna Rebai, Hassna Riahi and Hatem Zaag
    Abbas Bahri: a dedicated life Mohamed Ben Ayed
    1. Blow-up rate for a semilinear wave equation with exponential nonlinearity in one space dimension Asma Azaiez, Nader Masmoudi and Hatem Zaag
    2. On the role of anisotropy in the weak stability of the Navier–Stokes system Hajer Bahouri, Jean-Yves Chemin and Isabelle Gallagher
    3. The motion law of fronts for scalar reaction-diffusion equations with multiple wells: the degenerate case Fabrice Bethuel and Didier Smets
    4. Finite-time blowup for some nonlinear complex Ginzburg–Landau equations Thierry Cazenave and Seifeddine Snoussi
    5. Asymptotic analysis for the Lane–Emden problem in dimension two Francesca de Marchis, Isabella Ianni and Filomena Pacella
    6. A data assimilation algorithm: the paradigm of the 3D Leray-α model of turbulence Aseel Farhat, Evelyn Lunasin and Edriss S. Titi
    7. Critical points at infinity methods in CR geometry Najoua Gamara
    8. Some simple problems for the next generations Alain Haraux
    9. Clustering phenomena for linear perturbation of the Yamabe equation Angela Pistoia and Giusi Vaira
    10. Towards better mathematical models for physics Luc Tartar.

  • Editors

    Mohamed Ben Ayed, Université de Sfax, Tunisia
    Mohamed Ben Ayed is Professor at the Université de Sfax, Tunisia.

    Mohamed Ali Jendoubi, Université de Carthage, Tunisia
    Mohamed Ali Jendoubi is Professor at the Université de Carthage, Tunisia.

    Yomna Rébaï, Université de Carthage, Tunisia
    Yomna Rebai is Professor at the Ecole Polytechnique de Tunisie and at the Université de Carthage, Tunisia.

    Hasna Riahi, Ecole Nationale d'Ingénieurs de Tunis, Tunisia
    Hasna Riahi is Assistant Professor at Ecole Nationale d'Ingénieurs de Tunis, Université Tunis El-Manar, Tunis, Tunisia.

    Hatem Zaag, Université de Paris XIII
    Hatem Zaag is a Senior Centre National de la Recherche Scientifique Researcher at Université de Paris XIII, France.

    Contributors

    Mohamed Ben Ayed, Mohamed Ali Jendoubi, Yomna Rebai, Hassna Riahi, Hatem Zaag, Asma Azaiez, Nader Masmoudi, Hajer Bahouri, Jean-Yves Chemin, Isabelle Gallagher, Fabrice Bethuel, Didier Smets, Thierry Cazenave, Seifeddine Snoussi, Francesca de Marchis, Isabella Ianni, Filomena Pacella, Aseel Farhat, Evelyn Lunasin, Edriss S. Titi, Najoua Gamara, Alain Haraux, Angela Pistoia, Giusi Vaira, Luc Tartar

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