Pith. sign in

REVIEW

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1404.1729 v1 pith:OBYUAYOB submitted 2014-04-07 math.AP cond-mat.softmath-phmath.MP

Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals

Radu Ignat , Luc Nguyen , Valeriy Slastikov , Arghir Zarnescu This is my paper
classification math.AP cond-mat.softmath-phmath.MP
keywords stabilityhedgehogmeltingnematiccrystalsdefectgennesliquid
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

We investigate stability properties of the radially symmetric solution corresponding to the vortex defect (so called "melting hedgehog") in the framework of the Landau - de Gennes model of nematic liquid crystals. We prove local stability of the melting hedgehog under arbitrary $Q$-tensor valued perturbations in the temperature regime near the critical supercooling temperature. As a consequence of our method, we also rediscover the loss of stability of the vortex defect in the deep nematic regime.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.