By Dan-Andrei Geba,Manoussos G Grillakis
The wave maps process is among the most pretty and difficult nonlinear hyperbolic structures, which has captured the eye of mathematicians for greater than thirty years now. within the learn of its numerous matters, resembling the well-posedness conception, the formation of singularities, and the steadiness of the solitons, on the way to receive optimum effects, one has to take advantage of tricky instruments coming not just from research, but in addition from geometry and topology. additionally, the wave maps procedure is not anything except the Euler–Lagrange procedure for the nonlinear sigma version, that is one of many basic difficulties in classical box theory.
One of the ambitions of our e-book is to provide an updated and nearly self-contained evaluate 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 approach (e.g., the Skyrme model), that are tremendous attention-grabbing and hard of their personal right.
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Additional resources 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