Nonlinear continuum theory of smectic-C liquid crystals

Abstract

Here we develop a model of smectic-C liquid crystals by forming their hydrostatic and hydrodynamic theories which are motivated by W.N. E's work [Arch. Rational Mech. Anal., 137 (1997)]. A simplified model is also presented. In order to prove the rationality of the model, we establish the energy dissipative relation of the new model. Meanwhile, we verify that the system can also be obtained using asymptotic analysis when both the fluid and layers are incompressible.