On collapse of wave maps

Details On collapse of wave maps On collapse of wave maps

2009-09-16

arxiv.org/abs/0909.3085v1

Physica D240:1311-1324,2011

Mathematics

Analysis of PDEs

1 figure

Scientific paper

10.1016/j.physd.2011.04.014

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.

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