Attractors of Hamiltonian Nonlinear Partial Differential Equations
Book Details
Format
Hardback or Cased Book
Book Series
Cambridge Tracts in Mathematics
ISBN-10
1316516911
ISBN-13
9781316516911
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Sep 30th, 2021
Print length
200 Pages
Weight
484 grams
Dimensions
15.80 x 23.70 x 1.90 cms
Ksh 20,500.00
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This is the first monograph to present the theory of global attractors of Hamiltonian evolutionary partial differential equations, inspired by fundamental phenomena of quantum physics. Researchers and graduate students will appreciate this detailed reference, which covers applications in mathematical physics as well as the underlying theory.
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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