Nonlinear Wave Equations

by Satyanad Kichenassamy

Overview

This work examines the mathematical aspects of nonlinear wave propagation, emphasizing nonlinear hyperbolic problems. It introduces the tools that are most effective for exploring the problems of local and global existence, singularity formation, and large-time behaviour of solutions, and for the study of perturbation methods.

Product Details

ISBN-13:	9781000447453
Publisher:	CRC Press
Publication date:	05/30/2021
Series:	Chapman & Hall/CRC Pure and Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	296
File size:	10 MB

About the Author

Satyanad Kichenassamy

Table of Contents

Linear wave propagation; local and global existence; singularity formation; solitons and inverse scattering; perturbation methods; general relativity.

Editorial Reviews

...a comprehensive pedagogical presentation of the most effective new tools for the study of perturbation methods for a large class of nonlinear evolution problems in mathematical physics.... ...This book is one of the rare titles in this field. On one hand, it can be used as a text for graduate-level students. On the other hand, the content of the book covers a wide class of results on local and global existence, regularity, and singularity formation for nonlinear wave propagation.... This book would benefit graduate students as well as to specialists in the field of nonlinear hyperbolic problems in mathematical topics.

Zentralblatt fur Mathematik

The book has a wealth of matter....Every chapter has a section call[ed] Further results which enriches the contents. The study examines traveling waves and interactions exhaustively....Researchers in wave-propagation will find Nonlinear Wave Equations of great value.

Applied Mechanics Review

A course text for graduate students with a good background in partial differential equations. Examines the mathematical aspects of nonlinear wave propagation emphasizing nonlinear hyperbolic problems, and introduces tools for studying perturbation methods, global existence, singularity formation, and the large-time behavior of solutions. Avoids duplicating material in the other standard monographs. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews

". . .a comprehensive pedagogical presentation of the most effective new tools for the study of perturbation methods for a large class of nonlinear evolution problems in mathematical physics. . .. . . .This book is one of the rare titles in this field. On one hand, it can be used as a text for graduate-level students. On the other hand, the content of the book covers a wide class of results on local and global existence, regularity, and singularity formation for nonlinear wave propagation. . .. This book would benefit graduate students as well as to specialists in the field of nonlinear hyperbolic problems in mathematical topics. "
—-Zentralblatt fur Mathematik
"The book has a wealth of matter.. . .Every chapter has a section call[ed] Further results which enriches the contents. The study examines traveling waves and interactions exhaustively.. . .Researchers in wave-propagation will find Nonlinear Wave Equations of great value. "
—-Applied Mechanics Review

From the Publisher