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arXiv · 1406.4571

Dynamic Cubic Instability in a 2D Q-tensor Model for Liquid Crystals

Gautam Iyer·Xiang Xu·Arghir Zarnescu
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Abstract

We consider a four-elastic-constant Landau-de Gennes energy characterizing nematic liquid crystal configurations described using the $Q$-tensor formalism. The energy contains a cubic term and is unbounded from below. We study dynamical effects produced by the presence of this cubic term by considering an $L^2$ gradient flow generated by this energy. We work in two dimensions and concentrate on understanding the relations between the physicality of the initial data and the global well-posedness of the system.

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Gautam Iyer, Xiang Xu, Arghir Zarnescu. 2014-06-18. Dynamic Cubic Instability in a 2D Q-tensor Model for Liquid Crystals. https://arxiv.org/abs/1406.4571

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