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Intro Theory of Wave Maps and Related Geometric Problems

Intro Theory of Wave Maps and Related Geometric Problems

by Geba Dan-Andrei
No customer reviews yet ISBN 9789814713900 World Scientific Publishing Co

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.

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Product details

BrandWorld Scientific Publishing Co
Pub dateAug 28, 2016
ISBN-109814713902
ISBN-139789814713900
LanguageEnglish
Dimensions9.1 × 1.2 × 5.9 in
Weight2 lb
Last updated 2026-09-07 16:34
$81.39
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