88 citations · 134 across the 23 of their papers we have counts for
4 papers · 1 filter
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…
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…
Birth and life of the boundedness of the Cauchy Integral on Lipschitz graphs
Joan Verdera
We review various motives for considering the problem of estimating the Cauchy Singular Integral on Lipschitz graphs in the norm. We follow the thread that led to the solut…
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…