On collapse of wave maps
arXiv:0909.3085 · doi:10.1016/j.physd.2011.04.014
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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References in corpus (7)
- Renormalization and blow up for charge one equivariant critical wave maps
- On blowup for Yang-Mills fields
- Collapse of an Instanton
- Singularity Formation in 2+1 Wave Maps
- Fast and Slow Blowup in the S^2 Sigma Model and (4+1)-Dimensional Yang-Mills Model
- Formation of singularities in Yang-Mills equations
- Applications of the theory of evolution equations to general relativity
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