2 citations · 3 across the 5 of their papers we have counts for
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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…
Hölder regularity and convergence for a non-local model of nematic liquid crystals in the large-domain limit
Giacomo Canevari, Jamie M. Taylor
We consider a non-local free energy functional, modelling a competition between entropy and pairwise interactions reminiscent of the second order virial expansion, with application…
-convergence of a mean-field model of a chiral doped nematic liquid crystal to the Oseen-Frank description of cholesterics
Jamie M. Taylor
Systems of elongated molecules, doped with small amounts of molecules lacking mirror symmetry can form macroscopically twisted cholesteric liquid crystal phases. The aim of this wo…
Oseen-Frank-type theories of ordered media as the -limit of a non-local mean-field free energy
Jamie M. Taylor
In this work we recover the Oseen-Frank theory of nematic liquid crystals as a -limit of a particular mean-field free energy as the sample size becomes infinitely large. The Fra…
An analysis of equilibria in dense nematic liquid crystals
Jamie M. Taylor
This paper is concerned with the rigorous analysis of a recently proposed model of Zheng et. al. for describing nematic liquid crystals within the dense regime, with the orientatio…