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Download An Introduction to the Theory of Wave Maps and Related by Dan-Andrei Geba,Manoussos G Grillakis PDF

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By Dan-Andrei Geba,Manoussos G Grillakis

The wave maps process is likely one of the most lovely and hard nonlinear hyperbolic structures, which has captured the eye of mathematicians for greater than thirty years now. within the examine of its a number of concerns, reminiscent of the well-posedness conception, the formation of singularities, and the soundness of the solitons, so one can receive optimum effects, one has to exploit complicated instruments coming not just from research, but in addition from geometry and topology. in addition, the wave maps method is not anything except the Euler–Lagrange method for the nonlinear sigma version, that's one of many basic difficulties in classical box theory.

One of the ambitions of our booklet is to offer an updated and virtually self-contained evaluation 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 approach (e.g., the Skyrme model), that are super attention-grabbing and hard 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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