1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2022★ 1 cited
Boundary effects on the emergence of quasi-periodic solutions for Euler equations
Zineb Hassainia, Emeric Roulley
In this paper, we highlight the importance of the boundary effects on the construction of quasi-periodic vortex patches solutions close to Rankine vortices and whose existence is n…
math.AP2022
Vortex rigid motion in quasi-geostrophic shallow-water equations
Emeric Roulley
In this paper, we prove the existence of relative equilibria with holes for quasi-geostrophic shallow-water equations. More precisely, using bifurcation techniques, we establish fo…
math.AP2021
Time quasi-periodic vortex patches for quasi-geostrophic shallow-water equations
Taoufik Hmidi, Emeric Roulley
In this paper, we shall implement KAM theory in order to construct a large class of time quasi-periodic solutions for an active scalar model arising in fluid dynamics. More precise…