By Dan-Andrei Geba,Manoussos G Grillakis
The wave maps approach is without doubt one of the most pretty and hard nonlinear hyperbolic structures, which has captured the eye of mathematicians for greater than thirty years now. within the learn of its a number of matters, equivalent to the well-posedness idea, the formation of singularities, and the soundness of the solitons, so as to receive optimum effects, one has to exploit difficult instruments coming not just from research, but additionally from geometry and topology. additionally, the wave maps process is not anything except the Euler–Lagrange process for the nonlinear sigma version, that is one of many primary difficulties in classical box theory.
One of the pursuits of our booklet is to provide an up to date 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 process (e.g., the Skyrme model), that are tremendous fascinating and tough 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