Communications in Mathematical Sciences
Volume 13 (2015)
Nonlinear continuum theory of smectic-C liquid crystals
Pages: 1787 – 1801
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.
continuum theory, smectic liquid crystals, smectic-C, hydrodynamic equations, kinetic theory
2010 Mathematics Subject Classification
35Q35, 35Q51, 76D07, 80A17