%0 Journal Article %T On collapse of wave maps %A Yu. N. Ovchinnikov %A I. M. Sigal %J Mathematics %D 2009 %I arXiv %R 10.1016/j.physd.2011.04.014 %X 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. %U http://arxiv.org/abs/0909.3085v1