Long time behavior and field-induced instabilities of smectic liquid crystals
- Authors
- Kim, Soojung; Pan, Xingbin
- Issue Date
- 1-Aug-2021
- Publisher
- Academic Press Inc.
- Keywords
- Global solution; Long time behavior; Magnetic field-induced instability; Smectic liquid crystal
- Citation
- Journal of Functional Analysis, v.281, no.3
- Journal Title
- Journal of Functional Analysis
- Volume
- 281
- Number
- 3
- URI
- http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/40872
- DOI
- 10.1016/j.jfa.2021.109036
- ISSN
- 0022-1236
- Abstract
- In this paper, we study long time behavior and dynamical instabilities of smectic liquid crystals in an applied magnetic field. Under a planar ansatz of the de Gennes model, we first establish existence of global weak solutions and prove convergence to an equilibrium as t tends to infinity. Then we discuss field-induced dynamical instability of pure smectic states and dynamical instability of the pure nematic states, which rely on weak instabilities of the pure smectic and nematic states in magnetic fields. © 2021 Elsevier Inc.
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Collections - College of Natural Sciences > Department of Mathematics > 1. Journal Articles
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