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Journal Articles Calculus of Variations and Partial Differential Equations Year : 2022

Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field

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Abstract

We use the Landau-de Gennes energy to describe a particle immersed into nematic liquid crystals with a constant applied magnetic field. We derive a limit energy in a regime where both line and point defects are present, showing quantitatively that the close-to-minimal energy is asymptotically concentrated on lines and surfaces nearby or on the particle. We also discuss regularity of minimizers and optimality conditions for the limit energy.
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Dates and versions

hal-03583697 , version 1 (22-02-2022)
hal-03583697 , version 2 (23-11-2022)

Identifiers

  • HAL Id : hal-03583697 , version 2

Cite

François Alouges, Antonin Chambolle, Dominik Stantejsky. Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field. Calculus of Variations and Partial Differential Equations, inPress. ⟨hal-03583697v2⟩
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