3 papers
math.DS2020
The N-vortex Problem on a Riemann Sphere
Qun Wang
This article investigates the dynamical behaviours of the -vortex problem with vorticity on a Riemann sphere equipped with an arbitrary metric . Fro…
math.DS2018
Choreographic Holomorphic Spheres with Application to Hamiltonian Systems of -Vortex Type
Qun Wang
We study the existence of (relative) simple choreographies for a class of Hamiltonian systems describing the interaction of particles in the plane motivated mainly by the n-vortex…
math.DS2018
Relative Periodic Solutions Of The N-Vortex Problem Via The Variational Method
Qun Wang
This article studies the N-vortex problem in the plane with positive vorticities. After an investigation of some properties for normalised relative equilibria of the system, we use…