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We analytically derive and numerically simulate a two-dimensional energy functional modelling the effects of a constant electric field on a thin sample of a bent-core liquid crystal in the ferromagnetic SmA-like phase. We start from a three-dimensional domain and show that under proper rescaling and in the limit of small thickness the electric self-interactions term gives rise to boundary terms. We compare our results to previously proposed models.more » « less
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García-Cervera, Carlos J.; Giorgi, Tiziana; Joo, Sookyung (, Journal of Nonlinear Science)
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Joo, Sookyung; Xu, Xiang; Zhao, Yanxiang (, Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications)In this paper we study the global well-posedness of the Allen–Cahn–Ohta–Nakazawa model with two fixed nonlinear volume constraints. Utilizing the gradient flow structure of its free energy, we prove the existence and uniqueness of the solution by following De Giorgi’s minimizing movement scheme in a novel way.more » « less
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