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Some Studies on the Dynamics of Nema...

Chen, Yuan.

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Some Studies on the Dynamics of Nematic Liquid Crystals.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Some Studies on the Dynamics of Nematic Liquid Crystals./
Author:	Chen, Yuan.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2018,
Description:	164 p.
Notes:	Source: Dissertations Abstracts International, Volume: 80-05, Section: B.
Contained By:	Dissertations Abstracts International80-05B.
Subject:	Applied Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=11012128
ISBN:	9780438658301

Some Studies on the Dynamics of Nematic Liquid Crystals.
Chen, Yuan.

Some Studies on the Dynamics of Nematic Liquid Crystals. - Ann Arbor : ProQuest Dissertations & Theses, 2018 - 164 p.

Source: Dissertations Abstracts International, Volume: 80-05, Section: B.

Thesis (Ph.D.)--The Chinese University of Hong Kong (Hong Kong), 2018.

This item must not be sold to any third party vendors.

In this dissertation, we study the dynamics of nematic liquid crystals, especially dynamic instabilities owing to various mechanisms. The model under consideration is the simplified Ericksen-Leslie system, which is a coupled system between harmonic map heat flow and incompressible Navier-Stokes equations. There are two folds in this thesis. Firstly, inspired by the work of Gallay and Wayne on incompressible Navier-Stokes equation, we first establish the wellposedness with L1-initial vorticity and aim at investigating the influence of Oseen vortices in liquid crystals. In particular, for two dimensional case, we gain a rotation instability due to the pulling of the fluid; And in three dimension, Oseen vortices plays a minor role, a concentration instability happens due to a twist effect of the director field into the third dimension. Secondly, we study the instability induced by external magnetic field, which is the so-called Freedericksz transition. More precisely, under strong anchoring boundary condition, when the strength of the magnetic field exceeds a threshold, the director field tends to align along the field; Otherwise it is undeformed.

ISBN: 9780438658301Subjects--Topical Terms:

1669109
Applied Mathematics.

Some Studies on the Dynamics of Nematic Liquid Crystals.
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500 $a Source: Dissertations Abstracts International, Volume: 80-05, Section: B.
500 $a Publisher info.: Dissertation/Thesis.
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506 $a This item must not be sold to any third party vendors.
506 $a This item must not be added to any third party search indexes.
520 $a In this dissertation, we study the dynamics of nematic liquid crystals, especially dynamic instabilities owing to various mechanisms. The model under consideration is the simplified Ericksen-Leslie system, which is a coupled system between harmonic map heat flow and incompressible Navier-Stokes equations. There are two folds in this thesis. Firstly, inspired by the work of Gallay and Wayne on incompressible Navier-Stokes equation, we first establish the wellposedness with L1-initial vorticity and aim at investigating the influence of Oseen vortices in liquid crystals. In particular, for two dimensional case, we gain a rotation instability due to the pulling of the fluid; And in three dimension, Oseen vortices plays a minor role, a concentration instability happens due to a twist effect of the director field into the third dimension. Secondly, we study the instability induced by external magnetic field, which is the so-called Freedericksz transition. More precisely, under strong anchoring boundary condition, when the strength of the magnetic field exceeds a threshold, the director field tends to align along the field; Otherwise it is undeformed.
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