By Dan-Andrei Geba,Manoussos G Grillakis
The wave maps method is without doubt one of the most lovely and not easy nonlinear hyperbolic structures, which has captured the eye of mathematicians for greater than thirty years now. within the learn of its quite a few concerns, corresponding to the well-posedness thought, the formation of singularities, and the steadiness of the solitons, so as to receive optimum effects, one has to take advantage of complex instruments coming not just from research, but in addition from geometry and topology. additionally, the wave maps process is not anything except the Euler–Lagrange process for the nonlinear sigma version, that's one of many basic difficulties in classical box theory.
One of the objectives of our e-book is to offer an up to date and nearly self-contained evaluation of the most regularity effects proved for wave maps.
Another one is to introduce, to a large mathematical viewers, bodily encouraged generalizations of the wave maps approach (e.g., the Skyrme model), that are super attention-grabbing and tough of their personal right.
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Extra info for An Introduction to the Theory of Wave Maps and Related Geometric Problems
An Introduction to the Theory of Wave Maps and Related Geometric Problems by Dan-Andrei Geba,Manoussos G Grillakis