Homogenization of a Ginzburg-Landau model for a nematic liquid crystal with inclusions

DOI10.1016/j.matpur.2004.09.013zbMath1162.35316OpenAlexW2077054732MaRDI QIDQ1775757

Dmitry Golovaty, Doina Cioranescu, Leonid Berlyand

Publication date: 4 May 2005

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2004.09.013

zbMATH Keywords

homogenizationvariational methodscrystalshomogenization in fluid mechanics

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Variational methods for second-order elliptic equations (35J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (9)

Polydispersity and surface energy strength in nematic colloids ⋮ Homogenization of the Landau-Lifshitz-Gilbert equation in a contrasted composite medium ⋮ Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation ⋮ A non-traditional view on the modeling of nematic disclination dynamics ⋮ Far-field expansions for harmonic maps and the electrostatics analogy in nematic suspensions ⋮ Homogenization of a Ginzburg-Landau functional ⋮ Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches ⋮ Cubic microlattices embedded in nematic liquid crystals: a Landau-de Gennes study ⋮ Ginzburg–Landau model of a liquid crystal with random inclusions

Cites Work

• Liquid crystals with variable degree of orientation
• Non-homogeneous media and vibration theory
• Averaging the diffusion equation in a porous medium with weak absorption
• Homogenized Non-Newtonian Viscoelastic Rheology of a Suspension of Interacting Particles in a Viscous Newtonian Fluid
• Ginzburg-Landau vortices
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