Large mass minimizers for Gamow's liquid drop model with sufficiently decaying kernels

Abstract: In this talk, I will present Gamow's liquid drop model for the atomic nucleus, some of its generalizations and results from the literature on the topic. Then I will consider the case where the repulsive potential is given by a general kernel which "decays fast enough" at infinity, in the sense that it is integrable and its first moment is finite. This problem rewrites as an isoperimetric problem where the classical perimeter is replaced by $P-\gamma P_\varepsilon$, where $\gamma$ is a positive constant and $P_\varepsilon$ is a nonlocal functional converging to the perimeter as $\varepsilon$ vanishes. I will discuss the existence and characterization of minimizers for small $\varepsilon$, which corresponds to the large mass regime for the original problem.

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.