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arXiv:0909.3085 [math.AP]AbstractReferencesReviewsResources

On collapse of wave maps

Yu. N. Ovchinnikov, I. M. Sigal

Published 2009-09-16Version 1

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.

Comments: 1 figure
Journal: Physica D240:1311-1324,2011
Categories: math.AP, math-ph, math.MP
Subjects: 35L70, 81T13
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