Numerical methods for computing overturned traveling waves in the vortex sheet equations will be discussed. The extreme cost of simulation of this system motivates the use of dimension-breaking numerical continuation. The numerical method's strength, weaknesses and structure will be evaluated, both in the vortex sheet equations and weakly nonlinear models. The need for, and utility of, local and global bifurcation theorems in this area will be discussed. A sampling of these theorems in the vortex sheet setting will be reviewed. Speaker(s): Benjamin Akers (Air Force Institute of Technology)