25 citations · 72 across the 16 of their papers we have counts for
5 papers · 1 filter
A Landau de Gennes theory of liquid crystal elastomers
M. Carme Calderer, Carlos A. Garavito Garzon, Baisheng Yan
In this article, we study minimization of the Landau-de Gennes energy for liquid crystal elastomer.The total energy, is of the sum of the Lagrangian elastic stored energy function…
Long-time existence of classical solutions to a 1-D swelling gel
M. Carme Calderer, Robin Ming Chen
In this paper we derived a model which describes the swelling dynamics of a gel and study the system in one-dimensional geometry with a free boundary. The governing equations are h…
Liquid crystal elastomers and phase transitions in rod networks
M. Carme Calderer, Carlos A. Garavito, Chong Luo
In this article, we construct and analyze models of anisotropic crosslinked polymers employing tools from the theory of liquid crystal elastomers. The anisotropy of these systems s…
Effective models for nematic liquid crystals composites with ferromagnetic inclusions
M. Carme Calderer, Antonio DeSimone, Dmitry Golovaty +1
Molecules of a nematic liquid crystal respond to an applied magnetic field by reorienting themselves in the direction of the field. Since the dielectric anisotropy of a nematic is…
Effects of permeability and viscosity in linear polymeric gels
Brandon Chabaud, Maria-Carme Calderer
We propose and analyze a mathematical model of the mechanics of gels, consisting of the laws of balance of mass and linear momentum. We consider a gel to be an immiscible and incom…