90 citations · 472 across the 43 of their papers we have counts for
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math.AP2021
Rigidity aspects of singular patches in stratified flows
Taoufik Hmidi, Haroune Houamed, Mohamed Zerguine
We explore the local well-posedness theory for the 2d inviscid Boussinesq system when the vorticity is given by a singular patch. We give a significant improvement of \cite{Hassain…
math.AP2021
KAM theory for active scalar equations
Zineb Hassainia, Taoufik Hmidi, Nader Masmoudi
In this paper, we establish the existence of time quasi-periodic solutions to generalized surface quasi-geostrophic equation in the patch form close to Rankine vor…
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…