An Introduction to the Theory of Wave Maps and Related by Dan-Andrei Geba,Manoussos G Grillakis PDF

By Dan-Andrei Geba,Manoussos G Grillakis

The wave maps procedure is without doubt one of the most pretty and demanding nonlinear hyperbolic platforms, which has captured the eye of mathematicians for greater than thirty years now. within the learn of its a number of matters, comparable to the well-posedness conception, the formation of singularities, and the soundness of the solitons, so as to receive optimum effects, one has to take advantage of problematic instruments coming not just from research, but in addition from geometry and topology. in addition, the wave maps procedure is not anything except the Euler–Lagrange process for the nonlinear sigma version, that is one of many basic difficulties in classical box theory.

One of the pursuits of our booklet is to provide an up to date and virtually self-contained review of the most regularity effects proved for wave maps.

Another one is to introduce, to a large mathematical viewers, bodily inspired generalizations of the wave maps procedure (e.g., the Skyrme model), that are super attention-grabbing and tough of their personal right.

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An Introduction to the Theory of Wave Maps and Related Geometric Problems by Dan-Andrei Geba,Manoussos G Grillakis

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