Reduced Landau-de Gennes functional and surface smectic state of liquid crystals

DOI10.1016/j.jfa.2008.04.011zbMath1153.49003OpenAlexW2068855859MaRDI QIDQ960538

Bernard Helffer, Xing-Bin Pan

Publication date: 22 December 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.04.011

zbMATH Keywords

lowest eigenvalueliquid crystalmagnetic Schrödinger operatorLandau-de Gennes modelcritical wave numberjoint chirality constant

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) NLS equations (nonlinear Schrödinger equations) (35Q55) Liquid crystals (76A15) 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 (5)

Spectral asymptotics for magnetic Schrödinger operators in domains with corners ⋮ Existence of surface smectic states of liquid crystals ⋮ Helical magnetic fields and semi-classical asymptotics of the lowest eigenvalue ⋮ The ground state energy of the three-dimensional Ginzburg-Landau model in the mixed phase ⋮ Long time behavior and field-induced instabilities of smectic liquid crystals

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