29 citations · 41 across the 3 of their papers we have counts for
3 papers
math.AP2018★ 29 cited
Imperfect bifurcation for the quasi-geostrophic shallow-water equations
David Gerard Dritschel, Taoufik Hmidi, Coralie Renault
We study analytical and numerical aspects of the bifurcation diagram of simply-connected rotating vortex patch equilibria for the quasi-geostrophic shallow-water (QGSW) equations.…
math.AP2016★ 12 cited
Existence of small loops in the Bifurcation diagram near the degenerate eigenvalues
Taoufik Hmidi, Coralie Renault
In this paper we study for the incompressible Euler equations the global structure of the bifurcation diagram for the rotating doubly connected patches near the degenerate case. We…
math.AP2016
Relative equilibria with holes for the surface quasi-geostrophic equations
Coralie Renault
We study the existence of doubly connected rotating patches for the inviscid surface quasi- geostrophic equation left open in \cite{HHH}. By using the approach proposed by \cite{CC…