33 citations · 33 across the 3 of their papers we have counts for
3 papers
physics.bio-ph2013
Dipole interactions in doubly-periodic domains
Alan Cheng Hou Tsang, Eva Kanso
We consider the interactions of finite dipoles in a doubly-periodic domain. A finite dipole is a pair of equal and opposite strength point vortices separated by a finite distance.…
physics.flu-dyn2012
Motion Control of a Spinning Disc on Rotating Earth
Fangxu Jing, Eva Kanso, Paul K. Newton
This paper considers the motion control of a particle and a spinning disc on rotating earth. The equations of motion are derived using Lagrangian mechanics. Trajectory planning is…
math.DS2008★ 33 cited
The Geometry and Dynamics of Interacting Rigid Bodies and Point Vortices
Joris Vankerschaver, Eva Kanso, Jerrold E. Marsden
We derive the equations of motion for a planar rigid body of circular shape moving in a 2D perfect fluid with point vortices using symplectic reduction by stages. After formulating…