On the general anisotropic Ericksen-Leslie model
The Ericksen-Leslie model for nematic liquid crystal flows in a bounded domain with general Leslie and anisotropic Ericksen stress tensor in the case of an isothermal and incompressible fluid is studied. Of central importance is a fully nonlinear boundary condition for the director field, which, in this generality, is necessary to guarantee that the system fulfills physical principles. The system is shown to be locally, strongly well-posed in the Lp-setting. More precisely, the existence and uniqueness of a local-in-time, strong Lp-solution to the general system are proven
