By Dan-Andrei Geba,Manoussos G Grillakis
The wave maps approach is likely one of the most lovely and difficult nonlinear hyperbolic platforms, which has captured the eye of mathematicians for greater than thirty years now. within the research of its a number of concerns, equivalent to the well-posedness idea, the formation of singularities, and the soundness of the solitons, to be able to receive optimum effects, one has to take advantage of problematic instruments coming not just from research, but additionally from geometry and topology. in addition, the wave maps method 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 offer an updated 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 prompted generalizations of the wave maps method (e.g., the Skyrme model), that are super attention-grabbing and hard of their personal right.
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Additional 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