Weak solutions of non-isothermal nematic liquid crystal flow in dimension three

DOI10.1007/s41808-020-00055-zzbMath1442.35334arXiv2001.01176OpenAlexW3011800449MaRDI QIDQ2191075

Hengrong Du, Changyou Wang, Yimei Li

Publication date: 23 June 2020

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.01176

zbMATH Keywords

entropy inequalitiesGinzburg-Landau approximationnon-isothermal nematic liquid crystals

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Ginzburg-Landau equations (35Q56) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Existence and blow up criterion for strong solutions to the compressible biaxial nematic liquid crystal flow ⋮ The existence and uniqueness of time-periodic solutions to the non-isothermal model for compressible nematic liquid crystals in a periodic domain ⋮ Local well-posedness to the 2D Cauchy problem of non-isothermal nonhomogeneous nematic liquid crystal flows with vacuum at infinity

Cites Work

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