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

Geba, Dan-andrei; Grillakis, Manoussos G

 
9789814713900: An Introduction to the Theory of Wave Maps and Related Geometric Problems
Couverture rigide
ISBN 10 : 9814713902 ISBN 13 : 9789814713900
Editeur : World Scientific Publishing Co Pte Ltd, 2016

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2016
Langue
anglais
ISBN 10 
9814713902
ISBN 13 
9789814713900
Reliure
Relié
Nombre de pages
496
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

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