N. Robb McDonald

TL;DR: In this article, the motion of a line vortex near two circular cylinders of arbitrary radii is studied, where the fluid motion is governed by the two-dimensional Euler equations and the flow is irrotational exterior to the vortex.

TL;DR: In this article, two models for the motion of vortices near gaps in infinitely long barriers are presented for the case of a double gap formed by an island lying between two headlands.

TL;DR: In this article, two models for the motion of a line vortex near a gap in an infinitely long straight barrier are presented, one based on conformal mapping and the numerical method of contour surgery.

TL;DR: The initial value problem for the motion of an intense, quasi-geostrophic, equivalent-barotropic, singular vortex near an infinitely long escarpment is studied in this paper.

TL;DR: In this paper, a simple but general upper bound for the flux of a reduced-gravity fluid with nonnegative, but otherwise arbitrary, potential vorticity through a sill of arbitrary shape is given.