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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 1

Cite

François Alouges, Antonin Chambolle, Dominik Stantejsky. Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field. 2022. ⟨hal-03583697v1⟩
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