Travelling waves and periodic oscillations in fermi-pasta-ulam lattices / Alexander Pankov.

Format:

Book

Author/Creator:

Pankov, A. A. (Aleksandr Andreevich)

Language:

English

Subjects (All):

Lattice theory.

Ordered algebraic structures.

Physical Description:

1 online resource (212 p.)

Edition:

1st ed.

Place of Publication:

London : Imperial College Press, 2005.

Language Note:

English

Summary:

This is a unique book that presents rigorous mathematical results on Fermi-Pasta-Ulam lattices, a field of great interest in nonlinear analysis, nonlinear science, mathematical physics, etc. It considers travelling waves and time periodic oscillations in infinite Fermi-Pasta-Ulam lattices, which are not necessarily spatially homogenous. Similar systems, infinite chains of linearly coupled nonlinear oscillators, are also discussed. The book is self-contained and includes a number of open problems, making it suitable for use in a course for graduate students.

Contents:

Preface; Contents; Chapter 1 Infinite Lattice Systems; Chapter 2 Time Periodic Oscillations; Chapter 3 Travelling Waves: Waves with Prescribed Speed; Chapter 4 Travelling Waves: Further Results; Appendix A Functional Spaces; Appendix B Concentration Compactness; Appendix C Critical Point Theory; Appendix D Difference Calculus; Bibliography; Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786611866846

9781281866844

1281866849

9781860947216

1860947212

OCLC:

476064701