Special Session 56: Variational methods for nonlinear PDEs

A two-dimensional Ventcel problem modeling the equilibrium of a prestressed membrane

Giuseppe Viglialoro
University of Cagliari
Italy
Co-Author(s):    Antonio Greco
Abstract:
This talk is concerned with a mathematical problem modeling the equilibrium of a thin membrane structure (tensile structure), with rigid and cable boundaries. The mathematical formulation is expressed by means of a second order elliptic Ventcel mixed boundary-value problem, in which take part the shape of the membrane and its stress tensor. We discuss some partial results, both by the theoretical and numerical point of view. This is a joint work with Antonio Greco.