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most citedBoundary effects on the emergence of quasi-periodic solutions for Euler equations

1 citations · 2 across the 15 of their papers we have counts for

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math.AP2022

Periodic and quasi-periodic Euler- flows close to Rankine vortices

Emeric Roulley

In the present contribution, we first prove the existence of -fold simply-connected V-states close to the unit disc for Euler- equations. These solutions are implici…

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…