Existence and uniqueness of global classical solutions of a gradient flow of the Landau-de Gennes energy

DOI10.1090/proc/12803zbMath1342.35041OpenAlexW1618621521MaRDI QIDQ2790201

Xiang Xu, Xinfu Chen

Publication date: 3 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/12803

zbMATH Keywords

four elastic-constant termsnematic liquid crystal configurations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Liquid crystals (76A15)

Related Items (7)

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 ⋮ Global Strong Solutions of the Full Navier--Stokes and $Q$-Tensor System for Nematic Liquid Crystal Flows in Two Dimensions ⋮ A stable scheme and its convergence analysis for a 2D dynamic Q-tensor model of nematic liquid crystals ⋮ On the long time dynamics of the Landau-De Gennes gradient flow

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orientability and energy minimization in liquid crystal models
• Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system
• Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
• Linear and quasilinear elliptic equations
• Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory
• Finite Element Analysis of the Landau--de Gennes Minimization Problem for Liquid Crystals
• Dynamic cubic instability in a 2D Q-tensor model for liquid crystals

This page was built for publication: Existence and uniqueness of global classical solutions of a gradient flow of the Landau-de Gennes energy