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:

x, 218 pages : illustrations (some color) ; 24 cm.

Place of Publication:

Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022.

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"-- Provided by publisher.

Notes:

Includes bibliographical references and index.

Other Format:

ebook version :

ISBN:

9781316516911

1316516911

OCLC:

1245343788