Nematic-isotropic phase transition in liquid crystals: a variational derivation of effective geometric motions
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Publication:2043051
DOI10.1007/s00205-021-01681-0zbMath1468.76008arXiv2010.07786OpenAlexW3092855995MaRDI QIDQ2043051
Publication date: 22 July 2021
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.07786
PDEs in connection with fluid mechanics (35Q35) Variational methods applied to problems in fluid mechanics (76M30) Liquid crystals (76A15)
Related Items (5)
Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result ⋮ The Sharp Interface Limit of a Navier–Stokes/Allen–Cahn System with Constant Mobility: Convergence Rates by a Relative Energy Approach ⋮ Matrix-valued Allen-Cahn equation and the Keller-Rubinstein-Sternberg problem ⋮ Weak-strong uniqueness for volume-preserving mean curvature flow ⋮ Recent analytic development of the dynamic \(Q\)-tensor theory for nematic liquid crystals
Cites Work
- On the motion of a curve by its binormal curvature
- On minimizers for the isotropic-nematic interface problem
- Orientability and energy minimization in liquid crystal models
- Liquid crystals with variable degree of orientation
- Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
- The effect of a singular perturbation on nonconvex variational problems
- On Ericksen's model for liquid crystals
- Differentiability properties of isotropic functions
- Defects of liquid crystals with variable degree of orientation
- Rectifiability of line defects in liquid crystals with variable degree of orientation
- On the isotropic-nematic phase transition for the liquid crystal
- A model problem for nematic-isotropic transitions with highly disparate elastic constants
- Harmonic maps in connection of phase transitions with higher dimensional potential wells
- Phase transition for potentials of high-dimensional wells
- Dynamics of the Nematic-Isotropic Sharp Interface for the Liquid Crystal
- On nematic liquid crystals with variable degree of orientation
- Fast Reaction, Slow Diffusion, and Curve Shortening
- The gradient theory of phase transitions for systems with two potential wells
- Convergence of the Allen‐Cahn Equation to Multiphase Mean Curvature Flow
- A Ginzburg--Landau-Type Problem for Highly Anisotropic Nematic Liquid Crystals
- A General Chain Rule for Distributional Derivatives
- Convergence Rates of the Allen--Cahn Equation to Mean Curvature Flow: A Short Proof Based on Relative Entropies
- Function spaces for liquid crystals
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