181 citations · 1.2k across the 37 of their papers we have counts for
37 papers
Diffusive instabilities of baroclinic lenticular vortices
Joris Labarbe, Oleg N. Kirillov
We consider a model of a circular lenticular vortex immersed into a deep and vertically stratified viscous fluid in the presence of gravity and rotation. The vortex is assumed to b…
Radiation-induced instability of a finite-chord Nemtsov membrane
Joris Labarbe, Oleg N. Kirillov
We consider a problem of stability of a membrane of an infinite span and a finite chord length, submerged in a uniform flow of finite depth with free surface. In the shallow water…
From rotating fluid masses and Ziegler's paradox to Pontryagin- and Krein spaces and bifurcation theory
Oleg N. Kirillov, Ferdinand Verhulst
Three classical systems, the Kelvin gyrostat, the Maclaurin spheroids, and the Ziegler pendulum have directly inspired development of the theory of Pontryagin and Krein spaces with…
Analysis of azimuthal magnetorotational instability of rotating MHD flows and Tayler instability via an extended Hain-Lust equation
Rong Zou, Joris Labarbe, Yasuhide Fukumoto +1
We consider a differentially rotating flow of an incompressible electrically conducting and viscous fluid subject to an external axial magnetic field and to an azimuthal magnetic f…
Localizing EP sets in dissipative systems and the self-stability of bicycles
Oleg N. Kirillov
Sets in the parameter space corresponding to complex exceptional points have high codimension and by this reason they are difficult objects for numerical localization. However, com…
Flutter and divergence instability in the Pfluger column: experimental evidence of the Ziegler destabilization paradox
Davide Bigoni, Oleg N. Kirillov, Diego Misseroni +2
Flutter instability in elastic structures subject to follower load, the most important cases being the famous Beck's and Pfluger's columns (two elastic rods in a cantilever configu…