On minimizers for the isotropic-nematic interface problem

DOI10.1007/s00526-017-1131-yzbMath1366.82060OpenAlexW2596384517MaRDI QIDQ526946

Pingwen Zhang, Zhifei Zhang, Jinhae Park, Wei Wang

Publication date: 15 May 2017

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-017-1131-y

zbMATH Keywords

isotropic-nematic interface

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15) Phase transitions (general) in equilibrium statistical mechanics (82B26) Boundary value problems for second-order elliptic systems (35J57)

Related Items (7)

Modelling and computation of liquid crystals ⋮ Dynamics of the Nematic-Isotropic Sharp Interface for the Liquid Crystal ⋮ <scp>Isotropic‐Nematic</scp> Phase Transition and Liquid Crystal Droplets ⋮ On the isotropic-nematic phase transition for the liquid crystal ⋮ Local minimizer and de Giorgi's type conjecture for the isotropic-nematic interface problem ⋮ Nematic-isotropic phase transition in liquid crystals: a variational derivation of effective geometric motions ⋮ \(Q\)-tensor gradient flow with quasi-entropy and discretizations preserving physical constraints

Cites Work

• From microscopic theory to macroscopic theory: a systematic study on modeling for liquid crystals
• Regularity of flat level sets in phase transitions
• Rigorous Derivation from Landau--de Gennes Theory to Ericksen--Leslie Theory
• On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property

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