Uniqueness of planar tangent maps in the modified Ericksen model
Analysis of PDEs
2018-10-16 v2
Abstract
We prove the uniqueness of homogeneous blow-up limits of maps minimizing the modified Ericksen energy for nematic liquid crystals in a planar domain. The proof is based on the Weiss monotonicity formula, and a blow-up argument, originally due to Allard and Almgren \cite{AA} for minimal surfaces, and L. Simon \cite{SL} for energy-minimizing maps into analytic targets, which exploits the integrability of certain Jacobi fields.
Keywords
Cite
@article{arxiv.1706.04098,
title = {Uniqueness of planar tangent maps in the modified Ericksen model},
author = {Onur Alper},
journal= {arXiv preprint arXiv:1706.04098},
year = {2018}
}
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17 pages