What is it about?

We extend the existence theorems in Barchiesi et al. (2017), for models of nematic elastomers and magnetoelasticity, to a larger class in the scale of Orlicz spaces. These models consider both an elastic term where a polyconvex energy density is composed with an unknown state variable defined in the deformed configuration, and a functional corresponding to the nematic energy (or the exchange and magnetostatic energies in magnetoelasticity) where the energy density is integrated over the deformed configuration. In order to obtain the desired compactness and lower semicontinuity, we show that the regularity requirement that maps create no new surface can still be imposed when the gradients are in an Orlicz class with an integrability just above the space dimension minus one.

Featured Image

Read the Original

This page is a summary of: Orlicz–Sobolev nematic elastomers, Nonlinear Analysis, May 2019, Elsevier,
DOI: 10.1016/j.na.2019.04.012.
You can read the full text:

Read

Contributors

The following have contributed to this page