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arXiv · 2312.09035

On the existence and partial stability of standing waves for a nematic liquid crystal director field equation

Paulo Amorim·Jean-Baptiste Casteras·João Paulo Dias
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Abstract

In this paper, following the studies of Amorim and al. in Partial Differ.Equ. Appl. '23, we consider some new aspects of the motion of the director field of a nematic liquid crystal submitted to a magnetic field and to a laser beam. In particular, we study the existence and partial orbital stability of special standing waves, in the spirit of Cazenave and Lions and Hadj Selem and al. in Milan J. Math. '14 and we present some numerical simulations.

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Paulo Amorim, Jean-Baptiste Casteras, João Paulo Dias. 2023-12-14. On the existence and partial stability of standing waves for a nematic liquid crystal director field equation. https://arxiv.org/abs/2312.09035

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