On asymptotic isotropy for a hydrodynamic model of liquid crystals

DOI10.3233/ASY-151348zbMath1345.35073arXiv1409.7499OpenAlexW2169679747WikidataQ59316451 ScholiaQ59316451MaRDI QIDQ2814642

Elisabetta Rocca, Mimi Dai, Eduard Feireisl, Giulio Schimperna, Maria Elena Schonbek

Publication date: 22 June 2016

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.7499

zbMATH Keywords

long-time behaviorliquid crystalFourier splitting\(\mathcal{Q}\)-tensor description

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Liquid crystals (76A15)

Related Items (14)

On standing waves and gradient-flow for the Landau-De Gennes model of nematic liquid crystals ⋮ On partial regularity for weak solutions to the 3D co-rotational Beris-Edwards system ⋮ Dynamics of the Ericksen-Leslie equations with general Leslie stress. II: The compressible isotropic case ⋮ An elementary proof of eigenvalue preservation for the co-rotational Beris-Edwards system ⋮ Regularity Problem for the Nematic LCD System with Q-tensor in $\mathbb R^3$ ⋮ The parabolic fractal dimension for the co-rotational Beris-Edwards system ⋮ Recent analytic development of the dynamic \(Q\)-tensor theory for nematic liquid crystals ⋮ Dynamics and flow effects in the Beris-Edwards system modeling nematic liquid crystals ⋮ Global well-posedness and decay for a \(\mathbb{Q}\) tensor model of incompressible nematic liquid crystals in \(\mathbb{R}^N\) ⋮ Long time behavior of solutions to the 3D Hall-magneto-hydrodynamics system with one diffusion ⋮ On the initial boundary value problem of a Navier-Stokes/\(Q\)-tensor model for liquid crystals ⋮ Global well-posedness of the two dimensional Beris-Edwards system with general Laudau-de Gennes free energy ⋮ Global Strong Solutions of the Full Navier--Stokes and $Q$-Tensor System for Nematic Liquid Crystal Flows in Two Dimensions ⋮ On the long time dynamics of the Landau-De Gennes gradient flow

Cites Work

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• Nonlinear scalar field equations. I: Existence of a ground state
• Dynamic statistical scaling in the Landau-de Gennes theory of nematic liquid crystals
• Global Existence and Regularity for the Full Coupled Navier–Stokes andQ-Tensor System
• Large time behaviour of solutions to the navier-stokes equations
• Lower Bounds of Rates of Decay for Solutions to the Navier-Stokes Equations
• Asymptotic Behavior of Solutions to Liquid Crystal Systems in ℝ³

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