Work

Eigenframe discontinuities of the Q-tensor model

Year: 2025

Type: article

Abstract: In this paper, we study the defect structure of minimizer of a Landau-de Gennes energy functional in three-dimensional domains, subject to constraint $$|Q|=1$$ | Q | = 1 . The set of defects is identified by discontinuities in both the eigenframe and the leading eigenvector. Through a blow-up analysis, we prove that the defect set is 1-rectifiable and classify the asymptotic profile of the leading eigenvector near singularities. This generalizes some previous results on the structure of ring disclinations in the Q -tensor model.

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-025-03158-4

Authors: Zhiyuan Geng, Changyou Wang

Institution: Purdue University West Lafayette

Language: English

Topic: Liquid Crystal Research Advancements

Subfield: Electronic, Optical and Magnetic Materials

Field: Materials Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: National Science Foundation, Simons Foundation, American Mathematical Society, Division of Mathematical Sciences