2 papers
math.AP2026
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…
math.AP2025
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…