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

Antonin Chambolle; Dominik Stantejsky; Fran\c{c}ois Alouges

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arxiv 2202.10703 v3 pith:TQA4F5OT submitted 2022-02-22 math.AP math.CA

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

Fran\c{c}ois Alouges , Antonin Chambolle , Dominik Stantejsky This is my paper

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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.

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

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