EVENT DETAILS AND ABSTRACT

Title: Droplet breakup in the liquid drop model
Speaker: Ihsan Topaloglu
Speaker Info: Virginia Commonwealth University
Brief Description:
Special Note:
Abstract:

Gamow's liquid drop model, described by a nonlocal geometric variational problem, is a successful model which predicts the shape of atomic nuclei of small masses and nuclear fission at large masses. In this talk I will present on a variant of this model with a long-range attractive background potential with weight Z. In the regime of small Z, I will characterize the structure of minimizers by means of a sharp asymptotic expansion of the energy. This asymptotic limit leads to a discrete attractive-repulsive nonlocal functional. In the process of studying this limit I will also characterize all minimizing sequences for the Gamow’s model in terms of “generalized minimizers”. This is a joint project with S. Alama, L. Bronsard, and R. Choksi