We study singularity formation in spherically symmetric solutions of the charge-one and charge-two sector of the (2+1)-dimensional S2 σ-model and the (4+1)-dimensional Yang-Mills model, near the adiabatic limit. These equations are non-integrable, and so studies are performed numerically on rotationally symmetric solutions using an iterative finite… (More)

Numerical investigations of singularity formation in non-linear wave equations in the adiabatic limit. Dissertation, Mathematics Department, The University of Texas at Austin, Austin, TX 78712