A two-component nonlinear variational wave system
Analysis of PDEs
2021-09-08 v1
Abstract
We derive a novel two-component generalization of the nonlinear variational wave equation as a model for the director field of a nematic liquid crystal with a variable order parameter. The two-component nonlinear variational wave equation admits solutions locally in time. We show that a particular long time asymptotic expansion around a constant state in a moving frame satisfy the two-component Hunter--Saxton system.
Keywords
Cite
@article{arxiv.2109.02983,
title = {A two-component nonlinear variational wave system},
author = {Peder Aursand and Anders Nordli},
journal= {arXiv preprint arXiv:2109.02983},
year = {2021}
}