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arXiv · 2301.09353

Vector Field Models for Nematic Disclinations

Amit Acharya·Irene Fonseca·Likhit Ganedi·Kerrek Stinson
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Abstract

In this paper, a model for defects that was introduced in \cite{ZANV} is studied. In the literature, the setting of most models for defects is the function space SBV (special bounded variation functions) (see, e.g., \cite{ContiGarroni, GoldmanSerfaty}). However, this model regularizes the director field to be in a Sobolev space by adding a second field to incorporate the defect. A relaxation result in the case of fixed parameters is proven along with some partial compactness results.

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Amit Acharya, Irene Fonseca, Likhit Ganedi, Kerrek Stinson. 2023-01-23. Vector Field Models for Nematic Disclinations. https://doi.org/10.1007/s00332-023-09939-5

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