Entropy inequality and energy dissipation of inertial Qian–Sheng model for nematic liquid crystals
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Publication:5008991
DOI10.1142/S0219891621500065zbMath1473.35443arXiv2012.07326WikidataQ115245171 ScholiaQ115245171MaRDI QIDQ5008991
Shaojun Tang, Yangjun Ma, Yi-Long Luo, Ning Jiang
Publication date: 18 August 2021
Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.07326
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Liquid crystals (76A15)
Related Items (2)
Zero inertia limit of incompressible Qian–Sheng model ⋮ Recent analytic development of the dynamic \(Q\)-tensor theory for nematic liquid crystals
Cites Work
- Uniqueness of weak solutions of the full coupled Navier-Stokes and \(Q\)-tensor system in 2D
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- Dynamic statistical scaling in the Landau-de Gennes theory of nematic liquid crystals
- Some constitutive equations for liquid crystals
- Vorticity and Incompressible Flow
- Well-Posedness of a Fully Coupled Navier--Stokes/Q-tensor System with Inhomogeneous Boundary Data
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- On a hyperbolic system arising in liquid crystals modeling
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- Rigorous Justification of the Uniaxial Limit from the Qian--Sheng Inertial $Q$-Tensor Theory to the Ericksen--Leslie Theory
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