90 citations · 472 across the 43 of their papers we have counts for
5 papers · 1 filter
Point vortex dynamics in quasi-periodic channels: transporting trajectories and ergodic distribution of equilibria
Mohamed Ali, Taoufik Hmidi
We study the dynamics of a single point vortex in an unbounded planar channel whose interfaces are quasi-periodic in the longitudinal direction. The motion is governed by the Robin…
Rotating vortex patches: rigidity, bifurcation, and unified structures
Taoufik Hmidi
This monograph presents a systematic account of several classical and recent developments in the theory of rotating vortex patches, or V-states, for the two-dimensional Euler equat…
Time-periodic vortices near translating symmetric dipole patches
Luca Franzoi, Taoufik Hmidi, Riccardo Montalto
We prove the existence of time-periodic solutions of the two-dimensional incompressible Euler equations bifurcating from a translating vortex pair. The reference configuration cons…
Singular traveling waves for the Euler-Poisson system
Billel Guelmame, Taoufik Hmidi, Haroune Houamed +1
We consider the Euler-Poisson system for ions where the electrons are given by a Maxwell-Boltzmann distribution, and we investigate the existence of one-dimensional periodic travel…
Time-periodic leapfrogging vortex rings in the 3D Euler equations
Claudia García, Zineb Hassainia, Taoufik Hmidi
We prove the existence of time-periodic leapfrogging vortex rings for the three-dimensional incompressible Euler equations, thereby providing a rigorous realization of a phenomenon…