Hölder regularity and convergence for a non-local model of nematic liquid crystals in the large-domain limit
From MaRDI portal
Publication:2057931
DOI10.1016/j.na.2021.112641OpenAlexW3207569978MaRDI QIDQ2057931
Jamie M. Taylor, Giacomo Canevari
Publication date: 7 December 2021
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.10288
Cites Work
- Unnamed Item
- Local well-posedness and small Deborah limit of a molecule-based \(Q\)-tensor system
- Instability of point defects in a two-dimensional nematic liquid crystal model
- Stability of point defects of degree \(\pm \frac{1}{2}\) in a two-dimensional nematic liquid crystal model
- Maximum entropy methods as the bridge between microscopic and macroscopic theory
- A new obstruction to the extension problem for Sobolev maps between manifolds
- Line defects in the small elastic constant limit of a three-dimensional Landau-de Gennes model
- Uniaxial versus biaxial character of nematic equilibria in three dimensions
- On minimizers of a Landau-de Gennes energy functional on planar domains
- Hyperelasticity as a \(\Gamma\)-limit of peridynamics when the horizon goes to zero
- Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
- Convergence of peridynamics to classical elasticity theory
- Existence and partial regularity of static liquid crystal configurations
- Elliptic partial differential equations of second order
- The small Deborah number limit of the Doi-Onsager equation without hydrodynamics
- Refined approximation for minimizers of a Landau-de Gennes energy functional
- Trace theory for Sobolev mappings into a manifold
- Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals
- Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals
- From microscopic theory to macroscopic theory: a systematic study on modeling for liquid crystals
- Analysis of nematic liquid crystals with disclination lines
- Landau-de Gennes corrections to the Oseen-Frank theory of nematic liquid crystals
- Biaxial escape in nematics at low temperature
- Minimizers of a Landau-de Gennes energy with a subquadratic elastic energy
- Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds
- Liquid crystal defects in the Landau–de Gennes theory in two dimensions — Beyond the one-constant approximation
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Mappings minimizing theLp norm of the gradient
- A non-local anisotropic model for phase transitions: asymptotic behaviour of rescaled energies
- Oseen–Frank-type theories of ordered media as the Γ-limit of a non-local mean-field free energy
- Compactness Criteria for Integral Operators in L ∞ and L 1 Spaces
- On the covergence of minimizers of singular perturbation functionals
- Γ-convergence of a mean-field model of a chiral doped nematic liquid crystal to the Oseen–Frank description of cholesterics
- Mathematics and Materials
- Convex Analysis
- Ginzburg-Landau vortices
- Half-integer point defects in the \(Q\)-tensor theory of nematic liquid crystals
This page was built for publication: Hölder regularity and convergence for a non-local model of nematic liquid crystals in the large-domain limit