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  3. Attractors of Hamiltonian Nonlinear Partial Differential Equations
  • Cited by 1
Publisher:
Cambridge University Press
Online publication date:
September 2021
Print publication year:
2021
Online ISBN:
9781009025454
DOI:
https://doi.org/10.1017/9781009025454
Subjects:
Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Physics and Astronomy, Theoretical Physics and Mathematical Physics
Series:
Cambridge Tracts in Mathematics (224)
Information

Book description

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.

Reviews

‘It will be a very useful reference for graduate students and mathematicians working in partial differential equations and mathematical physics.’

Denise Huet Source: zbMATH

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