Calculus of Variations and Geometric Measure Theory

G. Bevilacqua - L. Lussardi - A. Marzocchi

Dimensional reduction of the Kirchhoff-Plateau problem

created by lussardi on 19 Mar 2019
modified on 02 Jul 2020


Published Paper

Inserted: 19 mar 2019
Last Updated: 2 jul 2020

Journal: J. Elasticity
Volume: 140
Number: 1
Pages: 135-148
Year: 2020


We obtain the Plateau problem with elastic boundary as a variational limit of the Kirchhoff-Plateau problem when the cross section of the boundary rod vanishes. The boundary is a framed curve that can sustain bending and twisting.

Keywords: Dimensional Reduction, Kirchhoff-Plateau problem