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YB 2012
Abstract:
We derive the universal collapse law of degree 1 equivariant wave maps (solutions of the sigma model) from the 2 + 1 Minkowski space-time, to the 2-sphere. To this end, we introduce a nonlinear transformation from original variables to blowup ones. Our formal derivations are confirmed by numerical simulations. (C) 2011 Elsevier B.V. All rights reserved.