Electric-Field-Induced Instabilities in Nematic Liquid Crystals

DOI10.1137/20M134349XzbMath1460.78009arXiv2005.06705MaRDI QIDQ5856450

Eugene C. Gartland jun.

Publication date: 26 March 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.06705

zbMATH Keywords

electric fieldsmagnetic fieldsliquid crystalsflexoelectricityOseen-Frank modelFréedericksz transitionsperiodic instabilities

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Electro- and magnetostatics (78A30)

Related Items (3)

Stability against the odds: the case of chromonic liquid crystals ⋮ Stationary solutions of discrete Landau-de Gennes theory: \(3 \times 3\) Q-tensor case ⋮ Mathematical modeling of inhomogeneous electric field impact on a liquid crystal layer

Cites Work

• Existence and partial regularity of static liquid crystal configurations
• Weak Stability of The Map x/|x| For Liquid Crystal Functionals
• Lagrange Multiplier Approach to Variational Problems and Applications
• A Saddle Point Approach to the Computation of Harmonic Maps
• Second variation of liquid crystal energy at x /| x |
• Forces and variational compatibility for equilibrium liquid crystal director models with coupled electric fields
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