8 papers
On stationary Quasi-Geostrophic Shallow-Water flows
Vittorio Baroncini, Claudia GarcÃa, Emeric Roulley
In this paper, we prove the existence of -fold doubly-connected stationary vortex patches for the quasi-geostrophic shallow-water equations. The solutions are obtained…
Quasi-periodic traveling electron layers
Luca Franzoi, Emeric Roulley
We consider the one dimensional space-periodic Vlasov-Poisson equations and construct, close to symmetric flat velocity strips, small amplitude traveling quasi-periodic electron-la…
Confinement results near point vortices on the rotating sphere
Martin Donati, Emeric Roulley
We study the Euler equation on the rotating sphere in the case where the absolute vorticity is initially sharply concentrated around several points. We follow the literature alread…
Ions-electrons-states for the two-component Vlasov-Poisson equation
Emeric Roulley
We establish both local and global bifurcation results for traveling periodic solutions of the one-dimensional two-species Vlasov-Poisson equation. These solutions consist of strip…
Filamentation near monotone zonal vortex caps
Gian Marco Marin, Emeric Roulley
We study the Euler equations on a rotating unit sphere, focusing on the dynamics of vortex caps. Leveraging the -stability of monotone, longitude-independent profiles, we demo…
Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets
Federico Murgante, Emeric Roulley, Stefano Scrobogna
We consider the Kelvin-Helmholtz system describing the evolution of a vortex-sheet near the circular stationary solution. Answering previous numerical conjectures in the 90s physic…