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

ISBN-10: 9814713902

ISBN-13: 9789814713900

The wave maps procedure is without doubt one of the most pretty and hard nonlinear hyperbolic platforms, which has captured the eye of mathematicians for greater than thirty years now. within the research of its quite a few matters, equivalent to the well-posedness concept, the formation of singularities, and the steadiness of the solitons, so that it will receive optimum effects, one has to exploit tricky instruments coming not just from research, but additionally from geometry and topology. furthermore, the wave maps approach 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 targets of our booklet is to provide an updated and nearly self-contained review 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 method (e.g., the Skyrme model), that are tremendous 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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