Séminaire Analyse non linéaire et EDP

Speaker: Monica Musso, University of Bath Abstract for the mini course: Introduction to the Liquid Drop Model: Minimizers, Stability and Nonexistence The liquid drop model, introduced by Gamow to describe atomic nuclei, is a classical problem in the calculus of variations involving the competition between surface tension, which favours compact shapes, and Coulomb repulsion, which favours spreading and fragmentation. In this introductory lecture, I will present the mathematical formulation of the model and review some fundamental results concerning the existence and geometry of energy minimizers. Particular attention will be given […]