4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.AP2026
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…
math.AP2023
Dynamics of vortex cap solutions on the rotating unit sphere
Claudia Garcia, Zineb Hassainia, Emeric Roulley
In this work, we analytically study the existence of periodic vortex cap solutions for the homogeneous and incompressible Euler equations on the rotating unit 2-sphere, which was n…
math.AP2020★ 4 cited
Vortex patches choreography for active scalar equations
C. García
This paper deals with the existence of vortex patches located at the vertex of a regular polygon with sides that rotate around the center of the polygon at a constant angul…