Formation of singularities for equivariant (2+1)-dimensional wave maps into the 2-sphere

摘要

In this paper we report on numerical studies of the Cauchy problem for equivariant wave maps from (2 + 1)-dimensional Minkowski spacetime into the 2-sphere. Our results provide strong evidence for the conjecture that large-energy initial data develop singularities in finite time and that singularity formation has the universal form of adiabatic shrinking of the degree-one harmonic map from R-2 into S-2. [References: 11]