A nonlocal isoperimetric problem with density perimeter

Abstract: In this talk I will present recent results on a variant of Gamow's liquid drop model where we consider the mass-constrained minimization of an energy functional given as the sum of a density perimeter term and a nonlocal interaction term of Riesz type. In particular, I will show that for a wide class of density functions this energy admits a minimizer for any choice of parameters, and that for monomial densities the unique minimizer is given by the ball of fixed volume when the nonlocal effects are sufficiently small. This is a joint work with S. Alama, L. Bronsard, and A. Zuniga.

mathematical physicsanalysis of PDEsclassical analysis and ODEscategory theorycomplex variablesfunctional analysislogicmetric geometryoptimization and control

Audience: researchers in the topic

VCU ALPS (Analysis, Logic, and Physics Seminar)

Series comments: Description: Research seminar on topics ranging from analysis and logic to mathematical physics.

Meetings will be conducted over Zoom:

Meeting ID: 951 0562 0974

The password is 10 characters, consisting of the name of the ancient Greek mathematician who wrote "Elements" (first letter capitalized) followed by the first 4 primes.