Global strong solutions to incompressible Ericksen-Leslie system in \(\mathbb{R}^3\)
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Publication:399107
DOI10.1016/j.na.2014.07.006zbMath1307.35232arXiv1404.3254OpenAlexW2963803316MaRDI QIDQ399107
Wenya Ma, Jinkai Li, HuaJun Gong
Publication date: 19 August 2014
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.3254
PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Strong solutions to PDEs (35D35)
Related Items
Local well-posedness to inhomogeneous Ericksen-Leslie system with general Leslie stress tensor, A new regularity criterion for strong solutions to the Ericksen–Leslie system, Local well-posedness of strong solutions to density-dependent liquid crystal system, Dynamics of the Ericksen-Leslie equations with general Leslie stress. I: The incompressible isotropic case, Nonuniqueness of nematic liquid crystal flows in dimension three, Time decay rate of global strong solutions to nematic liquid crystal flows in \(\mathbb{R}_+^3\), Dynamics of the Ericksen-Leslie equations with general Leslie stress. II: The compressible isotropic case, Analysis of Viscous Fluid Flows: An Approach by Evolution Equations, Regularity criteria for the three dimensional Ericksen-Leslie system in homogeneous Besov spaces, Interior regularity criterion for incompressible Ericksen-Leslie system, Regularity criteria for the strong solutions to the Ericksen-Leslie system in \(\mathbb R^3\), Existence and large time behavior to the nematic liquid crystal equations in Besov-Morrey spaces, Shape optimization in compressible liquid crystals
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