Global existence and stability for a hydrodynamic system in the nematic liquid crystal flows

DOI10.3934/cpaa.2013.12.341zbMath1264.35007arXiv1104.4192OpenAlexW2962974387MaRDI QIDQ1948048

Qiao Liu, Shang-bin Cui, Ji-Hong Zhao

Publication date: 30 April 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.4192

zbMATH Keywords

critical Besov spacesweak-strong uniquenessChemin-Lerner's time-space estimatesglobal self-similar solution

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30) Liquid crystals (76A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

Blow-up criterion for incompressible nematic type liquid crystal equations in three-dimensional space ⋮ Logarithmically improved criteria for the 3D nematic liquid crystal flows in the Morrey-Campanato space ⋮ On the interior regularity criteria for liquid crystal flows ⋮ BKM's criterion for the 3D nematic liquid crystal flows via two velocity components and molecular orientations ⋮ Logarithmically improved criteria for the 3D nematic liquid crystal flows in the multiplier spaces ⋮ Uniform stability for the 3D magneto-hydrodynamics equations ⋮ A regularity criterion for the three-dimensional nematic liquid crystal flow in terms of one directional derivative of the velocity

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