Attractors of Hamiltonian Nonlinear Partial Differential Equations
£110.00
Part of Cambridge Tracts in Mathematics
- Authors:
- Alexander Komech, Universität Wien, Austria
- Elena Kopylova, Universität Wien, Austria
- Date Published: September 2021
- availability: Available
- format: Hardback
- isbn: 9781316516911
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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.
Read more- The first monograph on the theory of global attractors of Hamiltonian partial differential equations
- Covers a range of applications in mathematical physics
- Formulates many open problems to prompt research
Reviews & endorsements
'It will be a very useful reference for graduate students and mathematicians working in partial differential equations and mathematical physics.' Denise Huet, zbMATH
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×Product details
- Date Published: September 2021
- format: Hardback
- isbn: 9781316516911
- length: 200 pages
- dimensions: 235 x 158 x 20 mm
- weight: 0.5kg
- availability: Available
Table of Contents
Introduction
1. Global attraction to stationary states
2. Global attraction to solitons
3. Global attraction to stationary orbits
4. Asymptotic stability of stationary orbits and solitons
5. Adiabatic effective dynamics of solitons
6. Numerical simulation of solitons
7. Dispersive decay
8. Attractors and quantum mechanics
References
Index.
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