11 citations · 22 across the 5 of their papers we have counts for
4 papers · 1 filter
Delayed Hopf bifurcation and control of a ferrofluid interface via a time-dependent magnetic field
Zongxin Yu, Ivan C. Christov
A ferrofluid droplet confined in a Hele-Shaw cell can be deformed into a stably spinning ``gear,'' using crossed magnetic fields. Previously, fully nonlinear simulation revealed th…
Twenty-Five Years of Dissipative Solitons
Ivan C. Christov, Zongxin Yu
In 1995, C. I. Christov and M. G. Velarde introduced the concept of a dissipative soliton in a long-wave thin-film equation [Physica D 86, 323--347]. In the 25 years since, the sub…
Long-wave equation for a confined ferrofluid interface: Periodic interfacial waves as dissipative solitons
Zongxin Yu, Ivan C. Christov
We study the dynamics of a ferrofluid thin film confined in a Hele-Shaw cell, and subjected to a tilted nonuniform magnetic field. It is shown that the interface between the ferrof…
Tuning a magnetic field to generate spinning ferrofluid droplets with controllable speed via nonlinear periodic interfacial waves
Zongxin Yu, Ivan C. Christov
Two dimensional free surface flows in Hele-Shaw configurations are a fertile ground for exploring nonlinear physics. Since Saffman and Taylor's work on linear instability of fluid-…