Crespo, MªMajumdar, A.Ramos Del Olmo, Ángel ManuelGriffiths, I. M.2023-06-172023-06-1720170167-278910.1016/j.physd.2017.04.004https://hdl.handle.net/20.500.14352/17899We study the static equilibria of a simplified Leslie–Ericksen model for a unidirectional uniaxial nematic flow in a prototype microfluidic channel, as a function of the pressure gradient G and inverse anchoring strength, B. We numerically find multiple static equilibria for admissible pairs (G,B) and classify them according to their winding numbers and stability. The case G=0 is analytically tractable and we numerically study how the solution landscape is transformed as G increases. We study the one-dimensional dynamical model, the sensitivity of the dynamic solutions to initial conditions and the rate of change of G and B. We provide a physically interesting example of how the time delay between the applications of G and B can determine the selection of the final steady state.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0167278916303761http://www.sciencedirect.com/restricted access517.98Leslie–Ericksen modelNematic microfluidicsAsymptotic analysisAnchoring strengthAnálisis funcional y teoría de operadores