Zero inertia density limit for the hyperbolic system of Ericksen-Leslie's liquid crystal flow with a given velocity

DOI10.1016/j.nonrwa.2018.07.023zbMath1415.35191OpenAlexW2887889406WikidataQ129414255 ScholiaQ129414255MaRDI QIDQ1729185

Ning Jiang, Shaojun Tang, Yi-Long Luo

Publication date: 27 February 2019

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.07.023

zbMATH Keywords

low-density limit singular limit Ericksen-Leslie model well-prepared initial data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65) Liquid crystals (76A15) Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (8)

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 ⋮ Initial-Boundary Value Problems for Poiseuille Flow of Nematic Liquid Crystal via Full Ericksen–Leslie Model ⋮ Rigorous Justification of the Uniaxial Limit from the Qian--Sheng Inertial $Q$-Tensor Theory to the Ericksen--Leslie Theory ⋮ On Well-Posedness of Ericksen--Leslie's Hyperbolic Incompressible Liquid Crystal Model ⋮ On well-posedness of Ericksen–Leslie’s parabolic–hyperbolic liquid crystal model in compressible flow ⋮ The zero inertia limit from hyperbolic to parabolic Ericksen-Leslie system of liquid crystal flow

Cites Work

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