Calculus of Variations and Geometric Measure Theory

On the flow of elastic networks

Paola Pozzi (University of Duisburg-Essen)

created by novaga on 16 Jan 2019

13 mar 2019 -- 17:00   [open in google calendar]

Aula Seminari, Dipartimento di Matematica, Università di Pisa

Abstract.

In this talk I will discuss a long-time existence result for the elastic flow of a three network in $\mathbb R^{n}$. The evolution is such that the sum of the elastic energies of the three curves plus their weighted lengths decrease in time. Natural boundary conditions are considered at the boundary of the curves and at the triple junction. This is joint work with Anna Dall'Acqua and Chun-Chi Lin.