Dynamic cubic instability in a 2D Q-tensor model for liquid crystals
From MaRDI portal
Publication:5254037
DOI10.1142/S0218202515500396zbMath1328.82053arXiv1406.4571MaRDI QIDQ5254037
Gautam Iyer, Xiang Xu, Arghir Zarnescu
Publication date: 8 June 2015
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.4571
Stability in context of PDEs (35B35) Variational methods applied to PDEs (35A15) Variational methods for elliptic systems (35J50) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15) Blow-up in context of PDEs (35B44)
Related Items (27)
A novel Landau-de Gennes model with quartic elastic terms ⋮ On standing waves and gradient-flow for the Landau-De Gennes model of nematic liquid crystals ⋮ Nematic liquid crystals on curved surfaces: a thin film limit ⋮ Shear flow dynamics in the Beris-Edwards model of nematic liquid crystals ⋮ Dynamics of the Nematic-Isotropic Sharp Interface for the Liquid Crystal ⋮ Convergence Analysis of a Fully Discrete Energy-Stable Numerical Scheme for the Q-Tensor Flow of Liquid Crystals ⋮ On the Landau-de Gennes elastic energy of a \(Q\)-tensor model for soft biaxial nematics ⋮ On the convergence of an unconditionally stable numerical scheme for the Q-tensor flow based on the invariant quadratization method ⋮ On partial regularity for weak solutions to the 3D co-rotational Beris-Edwards system ⋮ An elementary proof of eigenvalue preservation for the co-rotational Beris-Edwards system ⋮ Liquid crystal defects in the Landau–de Gennes theory in two dimensions — Beyond the one-constant approximation ⋮ Orientational order on surfaces: the coupling of topology, geometry, and dynamics ⋮ Recent analytic development of the dynamic \(Q\)-tensor theory for nematic liquid crystals ⋮ Dynamics and flow effects in the Beris-Edwards system modeling nematic liquid crystals ⋮ On the regularity of weak small solution of a gradient flow of the Landau–de Gennes energy ⋮ Regularity of minimizers of a tensor-valued variational obstacle problem in three dimensions ⋮ On the initial boundary value problem of a Navier-Stokes/\(Q\)-tensor model for liquid crystals ⋮ Global well-posedness of the two dimensional Beris-Edwards system with general Laudau-de Gennes free energy ⋮ Existence and uniqueness of global classical solutions of a gradient flow of the Landau-de Gennes energy ⋮ Global Strong Solutions of the Full Navier--Stokes and $Q$-Tensor System for Nematic Liquid Crystal Flows in Two Dimensions ⋮ On the Landau--de Gennes Elastic Energy of Constrained Biaxial Nematics ⋮ A stable scheme and its convergence analysis for a 2D dynamic Q-tensor model of nematic liquid crystals ⋮ Blowup rate estimates of a singular potential and its gradient in the Landau-de Gennes theory ⋮ Thin-film models for an active gel ⋮ Existence of minimizers and convergence of critical points for a new Landau-de Gennes energy functional in nematic liquid crystals ⋮ On the Ginzburg-Landau free energy density of superfluid A and B phases of Helium 3 ⋮ \(Q\)-tensor gradient flow with quasi-entropy and discretizations preserving physical constraints
Cites Work
- Evolution of non-isothermal Landau-de Gennes nematic liquid crystals flows with singular potential
- Orientability and energy minimization in liquid crystal models
- Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system
- Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
- On energetic variational approaches in modeling the nematic liquid crystal flows
- On a 3D isothermal model for nematic liquid crystals accounting for stretching terms
- Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory
- Finite Element Analysis of the Landau--de Gennes Minimization Problem for Liquid Crystals
- Convexity
- Unnamed Item
This page was built for publication: Dynamic cubic instability in a 2D Q-tensor model for liquid crystals