On collapse of wave maps

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. In this paper, we consider wave maps (solutions of the sigma model) from the 2+1 Minkowski space–time, to the 2-sphere. We ► derive the universal collapse law of degree 1 equivariant wave maps, ► introduce a nonlinear transformation from original variables to blowup ones, ► present numerical simulations confirming our analytical derivations.