1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2023
Local and global bifurcation of electron-states
Emeric Roulley
We study the bifurcation of traveling periodic electron layers, that we call electron-states, from symmetric and asymmetric flat velocity strips in the phase space, for the one dim…
math.AP2023★ 1 cited
Invariant KAM tori around annular vortex patches for 2D Euler equations
Zineb Hassainia, Taoufik Hmidi, Emeric Roulley
We construct time quasi-periodic vortex patch solutions with one hole for the planar Euler equations. These structures are captured close to any annulus provided that its modulus b…
math.AP2022
Periodic and quasi-periodic Euler- flows close to Rankine vortices
Emeric Roulley
In the present contribution, we first prove the existence of -fold simply-connected V-states close to the unit disc for Euler- equations. These solutions are implici…