Global well-posedness for the three dimensional simplified inertial Ericksen-Leslie systems near equilibrium
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Publication:2173033
DOI10.1016/j.jfa.2020.108521zbMath1437.35567arXiv1801.01732OpenAlexW2781483000MaRDI QIDQ2173033
Publication date: 22 April 2020
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.01732
PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)
Related Items (9)
Modelling and computation of liquid crystals ⋮ 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 ⋮ Uniqueness of global weak solutions for the general Ericksen-Leslie system with Ginzburg-Landau penalization in \(\mathbb{T}^2\) ⋮ Rigorous Justification of the Uniaxial Limit from the Qian--Sheng Inertial $Q$-Tensor Theory to the Ericksen--Leslie Theory ⋮ Low Mach number limit for the compressible inertial Qian-Sheng model of liquid crystals: convergence for classical solutions ⋮ Small Data Global Regularity for the 3-D Ericksen--Leslie Hyperbolic Liquid Crystal Model without Kinematic Transport ⋮ The zero inertia limit from hyperbolic to parabolic Ericksen-Leslie system of liquid crystal flow
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