We study the spherical droplet problem in 3D-Landau de Gennes theory with finite temperature. By rigorously constructing the biaxial-ring solutions and split-core-segment solutions, we theoretically confirm the numerical results of Gartland-Mkaddem in [14]. The structures of disclinations are also addressed.
Half-integer point defects in the $Q$-tensor theory of nematic liquid crystals
Pattern formation in vector-valued phase fields under convex constraints
Uniaxiality in the Landau-de Gennes theory of nematic liquid crystals
![QR code for arXiv:2107.01440 [math.AP]](http://oss.arxitics.com/images/favicon.svg)