On collapse of wave maps
Analysis of PDEs
2011-08-01 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0909.3085,
title = {On collapse of wave maps},
author = {Yu. N. Ovchinnikov and I. M. Sigal},
journal= {arXiv preprint arXiv:0909.3085},
year = {2011}
}
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