Regularity and time-periodicity for a nematic liquid crystal model

DOI10.1016/j.na.2008.10.092zbMath1194.35088OpenAlexW2049559406MaRDI QIDQ1021751

M. Jesus Moreno-Iraberte, Blanca Climent-Ezquerra, Francisco Guillén-González

Publication date: 9 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/xmlui/handle/11441/45034

zbMATH Keywords

coupled nonlinear parabolic systemtime-dependent boundary Dirichlet data

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Periodic solutions to PDEs (35B10) Navier-Stokes equations (35Q30) Liquid crystals (76A15)

Related Items (14)

A review of mathematical analysis of nematic and smectic-A liquid crystal models ⋮ Well-posedness for a non-isothermal flow of two viscous incompressible fluids ⋮ Trajectory attractors for binary fluid mixtures in 3D ⋮ Time-reproductive solutions for a bioconvective flow ⋮ Well-posedness of a diffuse-interface model for two-phase incompressible flows with thermo-induced Marangoni effect ⋮ Convergence to equilibrium for smectic-A liquid crystals in \(3D\) domains without constraints for the viscosity ⋮ Finite-dimensional global attractor for a system modeling the \(2D\) nematic liquid crystal flow ⋮ Existence of Global-in-Time Weak Solutions for a Solidification Model with Convection in the Liquid and Rigid Motion in the Solid ⋮ On a regularized family of models for homogeneous incompressible two-phase flows ⋮ Approximation of smectic-A liquid crystals ⋮ Optimal boundary control of a simplified Ericksen-Leslie system for nematic liquid crystal flows in \(2D\) ⋮ STABILITY FOR NEMATIC LIQUID CRYSTALS WITH STRETCHING TERMS ⋮ Optimal distributed control of a 2D simplified ericksen-Leslie system for the nematic liquid crystal flows ⋮ On optimal boundary control of Ericksen-Leslie system in dimension two

Cites Work

• Reproductivity for a nematic liquid crystal model
• Asymptotics for the minimization of a Ginzburg-Landau functional
• Existence of solutions for the Ericksen-Leslie system
• Well-posedness of the full Ericksen–Leslie model of nematic liquid crystals
• Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
• Nonparabolic dissipative systems modeling the flow of liquid crystals
• Time-periodic solutions for a generalized Boussinesq model with Neumann boundary conditions for temperature
• Unnamed Item

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