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Attractors of Hamiltonian Nonlinear Partial Differential Equations

Attractors of Hamiltonian Nonlinear Partial Differential Equations

Hardcover

Series: Cambridge Tracts in Mathematics, Book 224

General MathematicsPhysics

ISBN10: 1316516911
ISBN13: 9781316516911
Publisher: Cambridge University Press
Published: Sep 30 2021
Pages: 230
Weight: 1.05
Height: 0.56 Width: 6.00 Depth: 9.00
Language: English
This monograph is the first to present the theory of global attractors of Hamiltonian partial differential equations. A particular focus is placed on the results obtained in the last three decades, with chapters on the global attraction to stationary states, to solitons, and to stationary orbits. The text includes many physically relevant examples and will be of interest to graduate students and researchers in both mathematics and physics. The proofs involve novel applications of methods of harmonic analysis, including Tauberian theorems, Titchmarsh's convolution theorem, and the theory of quasimeasures. As well as the underlying theory, the authors discuss the results of numerical simulations and formulate open problems to prompt further research.

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General Mathematics