On a hyperbolic system arising in liquid crystals modeling

DOI10.1142/S0219891618500029zbMath1388.76023arXiv1610.07828OpenAlexW2963691312WikidataQ130056093 ScholiaQ130056093MaRDI QIDQ4609435

Elisabetta Rocca, Eduard Feireisl, Giulio Schimperna, Arghir Zarnescu

Publication date: 29 March 2018

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.07828

zbMATH Keywords

weak-strong uniquenessliquid crystaldissipative solutioninviscid Qian-Sheng model

Mathematics Subject Classification ID

Liquid crystals (76A15) Higher-order hyperbolic systems (35L55) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

Related Items (23)

Local well-posedness of the inertial Qian-Sheng's \(Q\)-tensor dynamical model near uniaxial equilibrium ⋮ On global well-posedness to 3D Navier-Stokes-Landau-Lifshitz equations ⋮ On global well-posedness and decay of 3D Ericksen-Leslie system ⋮ On a Navier-Stokes-Allen-Cahn model with inertial effects ⋮ Zero inertia limit of incompressible Qian–Sheng model ⋮ On weak martingale solutions to a stochastic Allen-Cahn-Navier-Stokes model with inertial effects ⋮ Global well-posedness to incompressible non-inertial Qian-Sheng model ⋮ A stochastic Allen–Cahn–Navier–Stokes model with inertial effects driven by multiplicative noise of jump type ⋮ On regularity for an Ericksen‐Leslie's parabolic‐hyperbolic liquid crystals 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 ⋮ Recent analytic development of the dynamic \(Q\)-tensor theory for nematic liquid crystals ⋮ Rigorous Justification of the Uniaxial Limit from the Qian--Sheng Inertial $Q$-Tensor Theory to the Ericksen--Leslie Theory ⋮ Dissipative solutions to a system for the flow of magnetoviscoelastic materials ⋮ 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 ⋮ 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 ⋮ Dissipative solution to the Ericksen-Leslie system equipped with the Oseen-Frank energy ⋮ On dissipative solutions to a system arising in viscoelasticity ⋮ Weak solutions and weak-strong uniqueness for a thermodynamically consistent phase-field model ⋮ Entropy inequality and energy dissipation of inertial Qian–Sheng model for nematic liquid crystals ⋮ On the long time dynamics of the Landau-De Gennes gradient flow

Cites Work

• Unnamed Item
• Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy
• Existence of weak solutions for the incompressible Euler equations
• Compressible fluid flow and systems of conservation laws in several space variables
• Global well-posedness and twist-wave solutions for the inertial Qian-Sheng model of liquid crystals
• Young measures generated by ideal incompressible fluid flows
• Suitable weak solutions to the Navier-Stokes equations of compressible viscous fluids
• The helicity and vorticity of liquid-crystal flows

This page was built for publication: On a hyperbolic system arising in liquid crystals modeling