Uniform local well-posedness for an Ericksen-Leslie's density-dependent parabolic-hyperbolic liquid crystals model

DOI10.1016/j.aml.2017.04.012zbMath1375.35371OpenAlexW2619969381MaRDI QIDQ2411132

Jishan Fan, Yong Zhou

Publication date: 20 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.aml.2017.04.012

zbMATH Keywords

vanishing viscositydensity-dependentliquid crystals model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15) Viscous-inviscid interaction for compressible fluids and gas dynamics (76N17)

Related Items (5)

On global well-posedness to 3D Navier-Stokes-Landau-Lifshitz equations ⋮ On regularity for an Ericksen‐Leslie's parabolic‐hyperbolic liquid crystals model ⋮ Error estimates of a sphere-constraint-preserving numerical scheme for Ericksen-Leslie system with variable density ⋮ Strong solutions to the density-dependent incompressible nematic liquid crystal flows with heat effect ⋮ Uniform regularity for the isentropic Hall-MHD system

Cites Work

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• A regularity criterion for a 3D density-dependent incompressible liquid crystals model
• Evolution of non-isothermal Landau-de Gennes nematic liquid crystals flows with singular potential
• Liquid crystals with variable degree of orientation
• Global well-posedness and twist-wave solutions for the inertial Qian-Sheng model of liquid crystals
• Regularity criteria for some simplified non-isothermal models for nematic liquid crystals
• Commutator estimates and the euler and navier-stokes equations
• Global regularity for the 2D liquid crystal model with mixed partial viscosity

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