Stationary solutions of discrete Landau-de Gennes theory: \(3 \times 3\) Q-tensor case

DOI10.1016/j.physd.2023.133751zbMath1516.76007OpenAlexW4366525349MaRDI QIDQ6098259

Panayotis Panayotaros

Publication date: 13 June 2023

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2023.133751

zbMATH Keywords

continuation methodnormal hyperbolicitynematic liquid crystalnonlinear lattice systemgeneralized discrete Oseen-Frank energy

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
• Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
• On the nonexistence of degenerate phase-shift discrete solitons in a dNLS nonlocal lattice
• Optical solitons in nematic liquid crystals: arbitrary deviation angle model
• On the continuation of degenerate periodic orbits via normal form: lower dimensional resonant tori
• Normally hyperbolic invariant manifolds. The noncompact case
• Continuation and bifurcations of breathers in a finite discrete NLS equation
• Stability of discrete solitons in nonlinear Schrödinger lattices
• Persistence and stability of discrete vortices in nonlinear Schrödinger lattices
• Periodic oscillations of discrete NLS solitons in the presence of diffraction management
• Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory
• Existence and persistence of invariant manifolds for semiflows in Banach space
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Optical solitons in nematic liquid crystals: model with saturation effects
• Bistable reaction–diffusion on a network
• A geometrical proof of the persistence of normally hyperbolic submanifolds
• Electric-Field-Induced Instabilities in Nematic Liquid Crystals
• Invariant manifolds

This page was built for publication: Stationary solutions of discrete Landau-de Gennes theory: \(3 \times 3\) Q-tensor case