Freedericksz Transition in Nematic Liquid Crystal Flows in Dimension Two

DOI10.1137/17M1151213zbMath1400.82288OpenAlexW2891263011MaRDI QIDQ4684190

Soojung Kim, Yuan Chen, Yong Yu

Publication date: 27 September 2018

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1151213

zbMATH Keywords

magnetic fielddynamic instabilityliquid crystalEricksen-Leslie systemFreedericksz transition

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15) Second-order parabolic equations (35K10) Semilinear parabolic equations (35K58) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (5)

Anisotropic nematic liquid crystals in an applied magnetic field ⋮ On strong solution to the 2D stochastic Ericksen-Leslie system: a Ginzburg-Landau approximation approach ⋮ Mathematical modeling of inhomogeneous electric field impact on a liquid crystal layer ⋮ On the 2D Ericksen-Leslie equations with anisotropic energy and external forces ⋮ Hydrodynamics of Anisotropic Liquid Crystals in an Applied Magnetic Field

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical solution of the Ericksen-Leslie dynamic equations for two-dimensional nematic liquid crystal flows
• The effect of external fields in the theory of liquid crystals
• Degenerate parabolic equations
• Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
• Liquid crystal flows in two dimensions
• Asymptotic behavior and stability of solutions of semilinear diffusion equations
• A simple unified approach to some convergence theorems of L. Simon
• Rate of decay to equilibrium in some semilinear parabolic equations.
• Long-time behavior for nonlinear hydrodynamic system modeling the nematic liquid crystal flows
• Long-Time Behavior for a Hydrodynamic Model on Nematic Liquid Crystal Flows with Asymptotic Stabilizing Boundary Condition and External Force
• Recent developments of analysis for hydrodynamic flow of nematic liquid crystals
• Magnetic Field‐Induced Instabilities in Liquid Crystals
• On estimates of solutions of the non-stationary Stokes problem in anisotropic Sobolev spaces and on estimates for the resolvent of the Stokes operator
• Nonparabolic dissipative systems modeling the flow of liquid crystals

This page was built for publication: Freedericksz Transition in Nematic Liquid Crystal Flows in Dimension Two