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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.
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Table of contents (15 chapters)
Editors and Affiliations
Bibliographic Information
Book Title: Hamiltonian Partial Differential Equations and Applications
Editors: Philippe Guyenne, David Nicholls, Catherine Sulem
Series Title: Fields Institute Communications
DOI: https://doi.org/10.1007/978-1-4939-2950-4
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2015
Hardcover ISBN: 978-1-4939-2949-8Published: 14 September 2015
Softcover ISBN: 978-1-4939-4990-8Published: 22 October 2016
eBook ISBN: 978-1-4939-2950-4Published: 11 September 2015
Series ISSN: 1069-5265
Series E-ISSN: 2194-1564
Edition Number: 1
Number of Pages: X, 449
Number of Illustrations: 28 b/w illustrations, 19 illustrations in colour
Topics: Partial Differential Equations, Classical and Quantum Gravitation, Relativity Theory, Dynamical Systems and Ergodic Theory, Functional Analysis