88 citations · 134 across the 23 of their papers we have counts for
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math.AP2021
Stability of ellipsoids as the energy minimisers of perturbed Coulomb energies
Joan Mateu, Maria Giovanna Mora, Luca Rondi +2
In this paper we characterise the minimiser for a class of nonlocal perturbations of the Coulomb energy. We show that the minimiser is the normalised characteristic function of an…
math.AP2021★ 2 cited
The global regularity of vortex patches revisited
Joan Verdera
We prove persistence of the regularity of the boundary of vortex patches for a large class of transport equations in the plane. The velocity field is given by convolution of the vo…
math.AP2021★ 4 cited
The regularity of the boundary of vortex patches for some non-linear transport equations
J. C. Cantero, J. Mateu, J. Orobitg +1
We prove the persistence of boundary smoothness of vortex patches for a non-linear transport equation in with velocity field given by convolution of the density with…