Introduction To The Theory Of Wave Maps And Related Geometric Problems, An
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€77.99
A01=Dan-andrei Geba
A01=Manoussos G Grillakis
Author_Dan-andrei Geba
Author_Manoussos G Grillakis
Category=PBWR
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eq_isMigrated=2
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Faddeev Model
Local and Global Regularity
Nonlinear Sigma Model
Skyrme Model
Wave Maps
Well-Posedness
Product details
- ISBN 9789814713900
- Publication Date: 03 Oct 2016
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
