@article{10_4007_annals_2010_172_187, author = {Igor Rodnianski and Jacob Sterbenz}, title = {On the formation of singularities in the critical $O(3)$ $\sigma$-model}, journal = {Annals of mathematics}, pages = {187--242}, publisher = {mathdoc}, volume = {172}, number = {1}, year = {2010}, doi = {10.4007/annals.2010.172.187}, mrnumber = {2680419}, zbl = {1213.35392}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.172.187/} }