The initial-boundary value problem for the density-dependent flow of nematic crystals is studied in a 2-D bounded smooth domain. For the initial density away from vacuum, the existence and uniqueness is proved for the global strong solution with the large initial velocity and small . We also give a regularity criterion of the problem with the Dirichlet boundary condition , on .
"Global Strong Solution to the Density-Dependent 2-D Liquid Crystal Flows." Abstr. Appl. Anal. 2013 1 - 5, 2013. https://doi.org/10.1155/2013/947291