14 citations · 45 across the 8 of their papers we have counts for
5 papers · 1 filter
Finite rotating and translating vortex sheets
Bartosz Protas, Stefan G. Llewellyn Smith, Takashi Sakajo
We consider the rotating and translating equilibria of open finite vortex sheets with endpoints in two-dimensional potential flows. New results are obtained concerning the stabilit…
Rotating Equilibria of Vortex Sheets
Bartosz Protas, Takashi Sakajo
We consider relative equilibrium solutions of the two-dimensional Euler equations in which the vorticity is concentrated on a union of finite-length vortex sheets. Using methods of…
Harnessing the Kelvin-Helmholtz Instability: Feedback Stabilization of an Inviscid Vortex Sheet
Bartosz Protas, Takashi Sakajo
In this investigation we use a simple model of the dynamics of an inviscid vortex sheet given by the Birkhoff-Rott equation to obtain fundamental insights about the potential for s…
Turbulence, cascade and singularity in a generalization of the Constantin-Lax-Majda equation
Takeshi Matsumoto, Takashi Sakajo
We study numerically a Constantin-Lax-Majda-De Gregorio model generalized by Okamoto, Sakajo and Wunsch, which is a model of fluid turbulence in one dimension with an inviscid cons…
Universality of the anomalous enstrophy dissipation at the collapse of three point vortices on Euler-Poincaré models
Takeshi Gotoda, Takashi Sakajo
Anomalous enstrophy dissipation of incompressible flows in the inviscid limit is a significant property characterizing two-dimensional turbulence. It indicates that the investigati…