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Fields Institute Communications

Hamiltonian Partial Differential Equations and Applications

Editors: Guyenne, Philippe, Nicholls, David, Sulem, Catherine (Eds.)

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  • ISBN 978-1-4939-2950-4
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Hardcover $119.99
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Softcover $109.99
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  • ISBN 978-1-4939-4990-8
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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.

Table of contents (15 chapters)

Table of contents (15 chapters)
  • Hamiltonian Structure, Fluid Representation and Stability for the Vlasov–Dirac–Benney Equation

    Pages 1-30

    Bardos, Claude (et al.)

  • Analysis of Enhanced Diffusion in Taylor Dispersion via a Model Problem

    Pages 31-71

    Beck, Margaret (et al.)

  • Normal Form Transformations for Capillary-Gravity Water Waves

    Pages 73-110

    Craig, Walter (et al.)

  • On a Fluid-Particle Interaction Model: Global in Time Weak Solutions Within a Moving Domain in $$\mathbb{R}^{3}$$

    Pages 111-133

    Doboszczak, Stefan (et al.)

  • Envelope Equations for Three-Dimensional Gravity and Flexural-Gravity Waves Based on a Hamiltonian Approach

    Pages 135-161

    Guyenne, Philippe

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-1-4939-2950-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-1-4939-2949-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • ISBN 978-1-4939-4990-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Hamiltonian Partial Differential Equations and Applications
Editors
  • Philippe Guyenne
  • David Nicholls
  • Catherine Sulem
Series Title
Fields Institute Communications
Series Volume
75
Copyright
2015
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4939-2950-4
DOI
10.1007/978-1-4939-2950-4
Hardcover ISBN
978-1-4939-2949-8
Softcover ISBN
978-1-4939-4990-8
Series ISSN
1069-5265
Edition Number
1
Number of Pages
X, 449
Number of Illustrations
28 b/w illustrations, 19 illustrations in colour
Topics