Peer-reviewed journal articles published in scientific journals.
Communications in Nonlinear Science and Numerical Simulation , Vol. 163 , 110428
A global, singularity-free reduction of the three-vortex problem that organizes phase portraits and the bifurcation set across circulation regimes.
Physics of Fluids , Vol. 36 , 067121
A singularity-free canonical reduction of three-vortex motion and an application to vortex-dipole scattering.
Ph.D. dissertation completed at the New Jersey Institute of Technology.
New Jersey Institute of Technology
Dissertation Advisor: Roy H. Goodman
A global reduction and phase-space analysis of the three-vortex problem, including bifurcations, vortex-dipole scattering, and extensions to an integrable four-vortex regime.