Attractors of Hamiltonian Nonlinear Partial Differential Equations
Attractors of Hamiltonian Nonlinear Partial Differential Equations
$140.00
USDThis 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.
- 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
Product details
September 2021Hardback
9781316516911
200 pages
235 × 158 × 20 mm
0.5kg
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.
