Small Data Global Regularity for the 3-D Ericksen--Leslie Hyperbolic Liquid Crystal Model without Kinematic Transport

DOI10.1137/20M1322625zbMath1460.35287arXiv1812.08341OpenAlexW3124476217WikidataQ115525542 ScholiaQ115525542MaRDI QIDQ5147559

Lifeng Zhao, Jiaxi Huang, Ning Jiang, Yi-Long Luo

Publication date: 27 January 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.08341

zbMATH Keywords

hyperbolicglobal regularityliquid crystal

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Statistical mechanics of crystals (82D25) Liquid crystals (76A15) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Statistical mechanics of liquids (82D15) Initial value problems for second-order hyperbolic systems (35L52) Mixed-type systems of PDEs (35M30)

Related Items (7)

Zero inertia limit of incompressible Qian–Sheng model ⋮ Incompressible limit of the Ericksen-Leslie parabolic-hyperbolic liquid crystal model ⋮ Small data global regularity and scattering for 3D Ericksen–Leslie compressible hyperbolic liquid crystal model ⋮ Asymptotic behavior of incompressible Schrödinger flow for small data in three dimensions ⋮ Initial-Boundary Value Problems for Poiseuille Flow of Nematic Liquid Crystal via Full Ericksen–Leslie Model ⋮ The zero inertia limit from hyperbolic to parabolic Ericksen-Leslie system of liquid crystal flow ⋮ Entropy inequality and energy dissipation of inertial Qian–Sheng model for nematic liquid crystals

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