1 citations · 2 across the 15 of their papers we have counts for
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Geometric effects on the persistence of patch structures for 2D Euler equations in simply-connected bounded domains
Emeric Roulley
We first prove a rigidity result for uniformly rotating vortex patch solutions to Euler equations in bounded simply-connected planar domains. Namely, if a bounded simply-connected…
Singular Contour Dynamics and Paradifferential Reduction
Xingyu Li, Emeric Roulley, Stefano Scrobogna
We develop a direct paradifferential approach to nonlinear graph integral operators arising in contour dynamics. The main methodological result is an abstract structure-preserving…
On stationary Quasi-Geostrophic Shallow-Water flows
Vittorio Baroncini, Claudia García, 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…
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…
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…