122 citations · 1.4k across the 76 of their papers we have counts for
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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-…
Kink Dynamics in a Parametric System: A Model With Controllably Many Internal Modes
A. Demirkaya, R. Decker, P. G. Kevrekidis +2
We explore a variant of the model originally proposed in Phys.\ Rev.\ D {\bf 12}, 1606 (1975) as a prototypical, so-called, "bag" model in which domain walls play the role of…
Topological defects with power-law tails
Roman V. Radomskiy, Elizaveta V. Mrozovskaya, Vakhid A. Gani +1
We study interactions of kinks and antikinks of the -dimensional model. In this model, there are kinks with mixed tail asymptotics: power-law behavior at one infinity…