Concentration-cancellation in the Ericksen-Leslie model
Analysis of PDEs
2019-12-24 v1
Abstract
We establish the subconvergence of weak solutions to the Ginzburg-Landau approximation to global-in-time weak solutions of the Ericksen-Leslie model for nematic liquid crystals on the torus . The key argument is a variation of concentration-cancellation methods originally introduced by DiPerna and Majda to investigate the weak stability of solutions to the (steady-state) Euler equations.
Keywords
Cite
@article{arxiv.1912.10429,
title = {Concentration-cancellation in the Ericksen-Leslie model},
author = {Joshua Kortum},
journal= {arXiv preprint arXiv:1912.10429},
year = {2019}
}