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Hamiltonian Partial Differential Equations and Applications

Philippe Guyenne (Hrsg.), Catherine Sulem (Hrsg.), David Nicholls (Hrsg.)

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Springer New York img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Analysis

Beschreibung

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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Schlagwörter

nonlinear waves, FPU paradox, partial differential equations, integrable systems, Vlasov– Dirac–Benney equation, KAM theory, Taylor dispersion