Attractors of Hamiltonian nonlinear partial differential equations / Alexander Komech, Elena Kopylova.

Format:

Book

Author/Creator:

Komech, A. I., author.

Kopylova, Elena, 1960- author.

Series:

Cambridge Tracts in Mathematics ; 224.

Cambridge tracts in mathematics, 224

Language:

English

Subjects (All):

Hamilton-Jacobi equations.

Hamiltonian operator.

Physical Description:

1 online resource (x, 218 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2022.

Summary:

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.

Notes:

Title from publisher's bibliographic system (viewed on 21 Sep 2021).

ISBN:

1-009-03605-X

1-009-02545-7

OCLC:

1272902389