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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.AP2014★ 7 cited
Doubly connected V-states for the planar Euler equations
Taoufik Hmidi, Francisco de la Hoz, Joan Mateu +1
We prove existence of doubly connected V-states for the planar Euler equations which are not annuli. The proof proceeds by bifurcation from annuli at simple "eigenvalues". The bifu…