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

Geometry Topology

By Dan-Andrei Geba,Manoussos G Grillakis

The wave maps method is without doubt one of the most lovely and hard nonlinear hyperbolic platforms, which has captured the eye of mathematicians for greater than thirty years now. within the examine of its a variety of matters, resembling the well-posedness idea, the formation of singularities, and the steadiness of the solitons, with a view to receive optimum effects, one has to exploit difficult instruments coming not just from research, but additionally from geometry and topology. furthermore, the wave maps process is not anything except the Euler–Lagrange procedure for the nonlinear sigma version, that's one of many primary difficulties in classical box theory.

One of the pursuits of our ebook is to provide an updated and virtually self-contained assessment of the most regularity effects proved for wave maps.

Another one is to introduce, to a large mathematical viewers, bodily influenced generalizations of the wave maps procedure (e.g., the Skyrme model), that are tremendous fascinating and hard of their personal right.

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