Workshop

Nonlocal isoperimetric problems

  • Theresa Simon
E1 05 (Leibniz-Saal)

Abstract

A number of fundamental questions about the structure of matter can be formulated as problems in energy-driven pattern formation. For example, Gamow's liquid drop model addresses the shape and stability properties of atomic nuclei as arising from competition between long-range Coulomb repulsion and short-range attraction modeled by surface tension. This gives rise to a class of variational problems called non-local isoperimetric problems in which surface area minimization is augmented by long-range repulsion. I will discuss the fundamental questions of existence and the shapes of minimizers, including the question of symmetry breaking, in a variety of instances.

Katharina Matschke

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Celia Hacker

Max Planck Institute for Mathematics in the Sciences

Mireille Soergel

Max Planck Institute for Mathematics in the Sciences

Leonie Kayser

Max Planck Institute for Mathematics in the Sciences

Pierre Brechet

Max Planck Institute for Mathematics in the Sciences

Neza Zager Korenjak

Max Planck Institute for Mathematics in the Sciences