Global well-posedness to incompressible non-inertial Qian-Sheng model

DOI10.3934/dcds.2020187zbMath1434.35113OpenAlexW3015988996MaRDI QIDQ2176550

Yangjun Ma

Publication date: 5 May 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020187

zbMATH Keywords

a priori estimateslocal and global well-posedness\(Q\)-tensorParodi's relationincompressible non-inertial Qian-Sheng model

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Liquid crystals (76A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Classical solutions to PDEs (35A09)

Related Items (3)

Zero inertia limit of incompressible Qian–Sheng model ⋮ Low Mach number limit for the compressible inertial Qian-Sheng model of liquid crystals: convergence for classical solutions ⋮ Entropy inequality and energy dissipation of inertial Qian–Sheng model for nematic liquid crystals

Cites Work

• Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system
• Global strong solution to the three-dimensional liquid crystal flows of Q-tensor model
• Existence of solutions for the Ericksen-Leslie system
• Global well-posedness and twist-wave solutions for the inertial Qian-Sheng model of liquid crystals
• Dynamic statistical scaling in the Landau-de Gennes theory of nematic liquid crystals
• Some constitutive equations for liquid crystals
• Global Existence and Regularity for the Full Coupled Navier–Stokes andQ-Tensor System
• On a hyperbolic system arising in liquid crystals modeling
• On Well-Posedness of Ericksen--Leslie's Hyperbolic Incompressible Liquid Crystal Model
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