Singularity Formation for the General Poiseuille Flow of Nematic Liquid Crystals

Geng Chen; Majed Sofiani

doi:10.1007/s42967-022-00190-5

Communications on Applied Mathematics and Computation ›› 2022, Vol. 5 ›› Issue (3) : 1130 -1147. DOI: 10.1007/s42967-022-00190-5

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Singularity Formation for the General Poiseuille Flow of Nematic Liquid Crystals

Geng Chen ¹
, Majed Sofiani ¹^,b

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Abstract

We consider the Poiseuille flow of nematic liquid crystals via the full Ericksen-Leslie model. The model is described by a coupled system consisting of a heat equation and a quasilinear wave equation. In this paper, we will construct an example with a finite time cusp singularity due to the quasilinearity of the wave equation, extended from an earlier result on a special case.

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Geng Chen, Majed Sofiani. Singularity Formation for the General Poiseuille Flow of Nematic Liquid Crystals. Communications on Applied Mathematics and Computation, 2022, 5(3): 1130-1147 DOI:10.1007/s42967-022-00190-5