Hamiltonian Partial Differential Equations and Applications
Editors: Guyenne, Philippe, Nicholls, David, Sulem, Catherine (Eds.)
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- About this book
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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)
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Hamiltonian Structure, Fluid Representation and Stability for the Vlasov–Dirac–Benney Equation
Pages 1-30
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Analysis of Enhanced Diffusion in Taylor Dispersion via a Model Problem
Pages 31-71
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Normal Form Transformations for Capillary-Gravity Water Waves
Pages 73-110
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On a Fluid-Particle Interaction Model: Global in Time Weak Solutions Within a Moving Domain in $$\mathbb{R}^{3}$$
Pages 111-133
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Envelope Equations for Three-Dimensional Gravity and Flexural-Gravity Waves Based on a Hamiltonian Approach
Pages 135-161
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Table of contents (15 chapters)
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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
