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math.AP2021
Effective surface energies in nematic liquid crystals as homogenised rugosity effects
Razvan-Dumitru Ceuca, Jamie M. Taylor, Arghir Zarnescu
We study the effect of boundary rugosity in nematic liquid crystalline systems. We consider a highly general formulation of the problem, able to simultaneously deal with several li…
math.AP2020
Cubic microlattices embedded in nematic liquid crystals: a Landau de-Gennes study
Razvan-Dumitru Ceuca
We consider a Landau-de Gennes model for a connected cubic lattice scaffold in a nematic host, in a dilute regime. We analyse the homogenised limit for both cases in which the latt…