Landau-de Gennes model of liquid crystals and critical wave number

DOI10.1007/s00220-003-0875-8zbMath1056.49005OpenAlexW1974802463MaRDI QIDQ1404755

Xing-Bin Pan

Publication date: 21 August 2003

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-003-0875-8

zbMATH Keywords

phase transitionliquid crystalLandau-de Gennes modelcritical wave number

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (13)

The phase transitions from chiral nematic toward smectic liquid crystals ⋮ Existence of surface smectic states of liquid crystals ⋮ Singular limit of Lamé equations ⋮ The effect of external fields in the theory of liquid crystals ⋮ Nodal sets of solutions of equations involving magnetic Schrödinger operator in three dimensions ⋮ Partial Sobolev spaces and anisotropic smectic liquid crystals ⋮ Critical elastic coefficient of liquid crystals and hysteresis ⋮ Thin boundary layers of chiral smectics ⋮ Reduced Landau-de Gennes functional and surface smectic state of liquid crystals ⋮ Long time behavior and field-induced instabilities of smectic liquid crystals ⋮ Variational and operator methods for Maxwell-Stokes system ⋮ Minimizing curl in a multiconnected domain ⋮ On a quasilinear system involving the operator curl

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