Name: An Introduction to the Theory of Wave Maps and Related Geometric Problems
SKU: 59549659
Price: 216.80 NZD
Availability: InStock
Author: Geba, Dan-Andrei ; Grillakis, Manoussos G.
ISBN: 9789814713900

portada An Introduction to the Theory of Wave Maps and Related Geometric Problems

An Introduction to the Theory of Wave Maps and Related Geometric Problems

Type

Physical Book

Author

Dan-Andrei Geba

Manoussos G. Grillakis

Publisher

World Scientific Publishing Company

Language

English

Pages

496

Format

Hardcover

Dimensions

23.1x15x3 cm

Weight

0.84 kg.

ISBN13

9789814713900

Synopsis "An Introduction to the Theory of Wave Maps and Related Geometric Problems"

The wave maps system is one of the most beautiful and challenging nonlinear hyperbolic systems, which has captured the attention of mathematicians for more than thirty years now. In the study of its various issues, such as the well-posedness theory, the formation of singularities, and the stability of the solitons, in order to obtain optimal results, one has to use intricate tools coming not only from analysis, but also from geometry and topology. Moreover, the wave maps system is nothing other than the Euler-Lagrange system for the nonlinear sigma model, which is one of the fundamental problems in classical field theory. One of the goals of our book is to give an up-to-date and almost self-contained overview of the main regularity results proved for wave maps. Another one is to introduce, to a wide mathematical audience, physically motivated generalizations of the wave maps system (e.g., the Skyrme model), which are extremely interesting and difficult in their own right.