Minimisers for anisotropic Riesz energies.

📅 martes 14 de abril — 11:00

📍 Aula A13, Facultad de Ciencias

👤Conferenciante: Joan Mateu (Universitat Autònoma de Barcelona)

📖 Título: Minimisers for anisotropic Riesz energies.

📄 Resumen: We will characterize energy minimisers for a class of nonlocal interaction energies where the attraction is quadratic, and the repulsion is Riesz-like and anisotropic. We will show that, if the Fourier transform of the repulsive potential is positive, the minimiser is supported on a fully-dimensional ellipsoid, and its density is given by a Barenblatt-type profile.