A stable scheme and its convergence analysis for a 2D dynamic Q-tensor model of nematic liquid crystals

DOI10.1142/S0218202517500245zbMath1368.76048OpenAlexW2611600839MaRDI QIDQ4977911

Xiang Xu, Jie Shen, Yong-Yong Cai

Publication date: 17 August 2017

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202517500245

zbMATH Keywords

stabilityconvergencenematic liquid crystalswell-posednessFourier spectral method\(Q\)-tensor

Mathematics Subject Classification ID

Related Items (9)

Modelling and computation of liquid crystals ⋮ Liouville theorem for the steady-state solutions of \(Q\)-tensor system of liquid crystal ⋮ Convergence Analysis of a Fully Discrete Energy-Stable Numerical Scheme for the Q-Tensor Flow of Liquid Crystals ⋮ A hydrodynamical model of nematic liquid crystal films with a general state of orientational order ⋮ Recent analytic development of the dynamic \(Q\)-tensor theory for nematic liquid crystals ⋮ On the regularity of weak small solution of a gradient flow of the Landau–de Gennes energy ⋮ 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 ⋮ \(Q\)-tensor gradient flow with quasi-entropy and discretizations preserving physical constraints

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