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An Intro Theory of Wave Maps and Related Geometric Problems

An Intro Theory of Wave Maps and Related Geometric Problems

Hardcover

General MathematicsGeometry

ISBN10: 9814713902
ISBN13: 9789814713900
Publisher: World Scientific Publishing Company
Published: Aug 28 2016
Pages: 496
Weight: 1.85
Height: 1.20 Width: 5.90 Depth: 9.10
Language: English

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.

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General Mathematics