Smoothness and Liouville type theorem for a system with cubic nonlinearities from biaxial nematic liquid crystals in two dimensions

DOI10.1016/j.aml.2022.108346zbMath1504.35314OpenAlexW4288045336WikidataQ113880506 ScholiaQ113880506MaRDI QIDQ2171163

Jiahui Fang, Junyu Lin

Publication date: 23 September 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108346

zbMATH Keywords

regularityLiouville-type theorembiaxial liquid crystals

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence theories for optimal control problems involving partial differential equations (49J20) Weak solutions to PDEs (35D30) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

• Applications harmoniques de surfaces riemanniennes
• Orientability and asymptotic convergence of \(Q\)-tensor flow of biaxial nematic liquid crystals
• Conservation laws for conformally invariant variational problems
• Boundary regularity via Uhlenbeck–Rivière decomposition
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