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Hamiltonian Partial Differential Equations and Applications

Part of the book series: Fields Institute Communications (FIC, volume 75)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-x
  2. Analysis of Enhanced Diffusion in Taylor Dispersion via a Model Problem

    • Margaret Beck, Osman Chaudhary, C. Eugene Wayne
    Pages 31-71
  3. Normal Form Transformations for Capillary-Gravity Water Waves

    • Walter Craig, Catherine Sulem
    Pages 73-110
  4. Dissipation of Narrow-Banded Surface Water Waves

    • Diane Henderson, Girish Kumar Rajan, Harvey Segur
    Pages 163-183
  5. Some Analytic Results on the FPU Paradox

    • Dario Bambusi, Andrea Carati, Alberto Maiocchi, Alberto Maspero
    Pages 235-254
  6. A Nash-Moser Approach to KAM Theory

    • Massimiliano Berti, Philippe Bolle
    Pages 255-284
  7. Time-Averaging for Weakly Nonlinear CGL Equations with Arbitrary Potentials

    • Guan Huang, Sergei Kuksin, Alberto Maiocchi
    Pages 323-349
  8. Local Isometric Immersions of Pseudo-Spherical Surfaces and Evolution Equations

    • Nabil Kahouadji, Niky Kamran, Keti Tenenblat
    Pages 369-381
  9. IST Versus PDE: A Comparative Study

    • Christian Klein, Jean-Claude Saut
    Pages 383-449
  10. Erratum to: IST Versus PDE: A Comparative Study

    • Christian Klein, Jean-Claude Saut
    Pages E1-E1

About this book

This book is a unique selection of work by world-class experts exploring the latest developments in Hamiltonian partial differential equations and their applications. Topics covered within are representative of the field’s wide scope, including KAM and normal form theories, perturbation and variational methods, integrable systems, stability of nonlinear solutions as well as applications to cosmology, fluid mechanics and water waves.

The volume contains both surveys and original research papers and gives a concise overview of the above topics, with results ranging from mathematical modeling to rigorous analysis and numerical simulation. It will be of particular interest to graduate students as well as researchers in mathematics and physics, who wish to learn more about the powerful and elegant analytical techniques for Hamiltonian partial differential equations.

Editors and Affiliations

  • Dept Mathematical Sciences, University of Delaware, Newark, USA

    Philippe Guyenne

  • Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, USA

    David Nicholls

  • Department of Mathematics, University of Toronto, Toronto, Canada

    Catherine Sulem

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access