Special Session 15: On the dynamics of hyperbolic partial differential equations: theory and applications

STATIONARY SHEAR FLOW OF NEMATIC LIQUID CRYSTALS: MULTIPLICITY, STABILITY, AND BIFURCATION

Majed Sofiani
King Abdullah University of Science and Technology (KAUST)
Saudi Arabia
Co-Author(s):    Weishi Liu
Abstract:
Liquid crystal is a state of matter that has crystal properties and can flow like a liquid. These two characteristics interact with each other so that any distortion of the crystal structure affects the flow, and vice versa. In this talk, I will present recent results on the boundary value problem for the shear flow of nematic liquid crystals via the parabolic Ericksen-Leslie model. In particular, I will discuss the existence of multiple stationary solutions, bifurcation phenomenon, and stability/instability of bifurcating solutions.