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arXiv · 2109.02983

A two-component nonlinear variational wave system

Peder Aursand·Anders Nordli
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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.

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Peder Aursand, Anders Nordli. 2021-09-07. A two-component nonlinear variational wave system. https://arxiv.org/abs/2109.02983

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