McDonald, R. (2022). The fundamental solutions of the curve shortening problem via the Schwarz function. Complex Analysis and its Synergies.

McDonald, N. R. (2020). Application of the Schwarz-Christoffel map to the Laplacian growth of needles and fingers. PHYSICAL REVIEW E, 101 (1), ARTN 013101. doi:10.1103/PhysRevE.101.013101

McDonald, N. R. (2020). Finger Growth and Selection in a Poisson Field. Journal of Statistical Physics, 178 (3), 763-774. doi:10.1007/s10955-019-02454-6

McDonald, R. (2020). Geodesic Loewner paths with varying boundary conditions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 476 (2242), 20200466. doi:10.1098/rspa.2020.0466

Yi, R., Cohen, Y., Seybold, H., Stansifer, E., McDonald, N. R., Mineev-Weinstein, M., & Rothman, D. (2017). A free-boundary model of diffusive valley growth: theory and observation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 473 (2202). doi:10.1098/rspa.2017.0159

Xue, B. B., Johnson, E. R., & McDonald, N. R. (2017). New families of vortex patch equilibria for the two-dimensional Euler equations. Physics of Fluids, 29 (12). doi:10.1063/1.5009536

Southwick, O. R., Johnson, E. R., & McDonald, N. R. (2017). Potential Vorticity Dynamics of Coastal Outflows. JOURNAL OF PHYSICAL OCEANOGRAPHY, 47 (5), 1021-1041. doi:10.1175/JPO-D-16-0070.1

Johnson, E. R., Southwick, O. R., & McDonald, N. R. (2017). The long-wave vorticity dynamics of rotating buoyant outflows. Journal of Fluid Mechanics, 822, 418-443. doi:10.1017/jfm.2017.291

Southwick, O. R., Johnson, E. R., & McDonald, N. R. (2016). A simple model for sheddies: Ocean eddies formed from shed vorticity. Journal of Physical Oceanography, 46 (10), 2961-2979. doi:10.1175/JPO-D-15-0251.1

Hinds, A. K., Johnson, E. R., & McDonald, N. R. (2016). Beach vortices near circular topography. Physics of Fluids, 28 (10). doi:10.1063/1.4966038