Uniform local well-posedness and regularity criterion for the density-dependent incompressible flow of liquid crystals

DOI10.4310/CMS.2014.V12.N7.A1zbMath1304.35482MaRDI QIDQ484727

Jishan Fan, Fu-Cai Li

Publication date: 7 January 2015

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

vacuumregularity criterionliquid crystalsdensity-dependent incompressible flowuniform local well-posedness

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Strong solutions to PDEs (35D35)

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A regularity criterion for the 3D density-dependent incompressible flow of liquid crystals with vacuum ⋮ Energy conservation for the weak solutions to the 3D compressible nematic liquid crystal flow

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