Attractors of Hamiltonian nonlinear partial differential equations /

Attractors of Hamiltonian nonlinear partial differential equations /

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Bibliographic Details
Author / Creator:	Komech, A. I., author.
Imprint:	Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022. ©2022
Description:	x, 218 pages : illustrations (some color) ; 24 cm.
Language:	English
Series:	Cambridge tracts in mathematics, 224 Cambridge tracts in mathematics ; 224.
Subject:	Hamilton-Jacobi equations. Hamiltonian operator. Hamilton-Jacobi equations. Hamiltonian operator.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/12668653

Hidden Bibliographic Details
Other authors / contributors:	Kopylova, Elena, 1960- author.
ISBN:	9781316516911 1316516911 9781009025454
Notes:	Includes bibliographical references and index.
Summary:	"This monograph presents theory of global attractors and of the long-time behavior of solutions of nonlinear Hamiltonian partial differential equations in infinite space. This theory was initiated by one of the authors in 1990 and was developed in collaboration with H. Spohn since 1995 and with A. Comech, V. Imaikin, E. Kopylova, D. Stuart, and B. Vainberg since 2005. The theory resulted, in particular, in the first rigorous solution of the problem of radiation damping in classical electrodynamics and in the first rigorous model of Bohr's transitions between quantum stationary states. This progress became possible due to novel application of subtle methods of Wiener Tauberian theorem and the Titchmarsh convolution theorem"--
Other form:	ebook version : 9781009025454

Description
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.
Physical Description:	x, 218 pages : illustrations (some color) ; 24 cm.
Bibliography:	Includes bibliographical references and index.
ISBN:	9781316516911 1316516911 9781009025454