The Landau-de Gennes theory of nematic liquid crystals: Uniaxiality versus Biaxiality

We study small energy solutions within the Landau-de Gennes theory for nematic liquid crystals, subject to Dirichlet boundary conditions. We consider two-dimensional and threedimensional domains separately and study the correspondence between Landau-de Gennes theory and Ginzburg-Landau theory for su...