Global well-posedness and decay for a \(\mathbb{Q}\) tensor model of incompressible nematic liquid crystals in \(\mathbb{R}^N\)

DOI10.1016/j.jde.2018.08.050zbMath1406.35299OpenAlexW2888980575MaRDI QIDQ1710524

Yoshihiro Shibata, Maria Elena Schonbek

Publication date: 22 January 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.08.050

zbMATH Keywords

regularitynematic liquid crystalslong-time behaviorquasilinear parabolic evolution equations\(\mathbb{Q}\) tensor descriptionglobal solutions in \(\mathbb{R}^N\)

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Strong solutions to PDEs (35D35) Quasilinear parabolic equations (35K59)

Related Items (3)

Global well posedness for a Q-tensor model of nematic liquid crystals ⋮ On global well-posedness to 3D Navier-Stokes-Landau-Lifshitz equations ⋮ On standing waves and gradient-flow for the Landau-De Gennes model of nematic liquid crystals

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