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arXiv · 0909.3085

On collapse of wave maps

Yu. N. Ovchinnikov·I. M. Sigal
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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.

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Yu. N. Ovchinnikov, I. M. Sigal. 2009-09-16. On collapse of wave maps. https://doi.org/10.1016/j.physd.2011.04.014

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