On collapse of wave maps
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.
- Publication:
-
Physica D Nonlinear Phenomena
- Pub Date:
- August 2011
- DOI:
- 10.1016/j.physd.2011.04.014
- arXiv:
- arXiv:0909.3085
- Bibcode:
- 2011PhyD..240.1311O
- Keywords:
-
- Mathematics - Analysis of PDEs;
- Mathematical Physics;
- 35L70;
- 81T13
- E-Print:
- 1 figure
