PERHAPS A GIFT VOUCHER FOR MUM?: MOTHER'S DAY

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Introduction To The Theory Of Wave Maps And Related Geometric Problems, An

Dan-andrei Geba (Univ Of Rochester, Usa) Manoussos G Grillakis (Univ Of Maryland, Usa)

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English
World Scientific Publishing Co Pte Ltd
18 August 2016
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.

By:   , ,
Imprint:   World Scientific Publishing Co Pte Ltd
Country of Publication:   Singapore
Dimensions:   Height: 231mm,  Width: 150mm,  Spine: 30mm
Weight:   839g
ISBN:   9789814713900
ISBN 10:   9814713902
Pages:   496
Publication Date:  
Audience:   College/higher education ,  Further / Higher Education
Format:   Hardback
Publisher's Status:   Active
Physical Motivation; Geometrical Description; Energy-Type Estimates; Analytical Tools; General Well-Posedness Theory; The Equivariant Problem; Singularity Formation;

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