Generalized solution concepts to the Ericksen-Leslie equations modeling liquid crystal flow
Dr. Robert Lasarzik, WIAS Berlino
Sala conferenze IMATI-CNR, Pavia - Thursday, June 7, 2018 h.15:00
Abstract. The Ericksen-Leslie equations are a system of nonlinear partial differential equations describing the flow of liquid crystals. This system is equipped with the non-convex Oseen-Frank energy leading to a nonlinear differential operator of second order that is non-monotone. Different partial answers to the question of well-posedness are presented in the form of different solvability concepts. The plethora of different solution concepts ranges from strong over weak and measure-valued solutions to dissipative solutions. A relative energy inequality holds for this system, which allows to deduce the weak-strong uniqueness property and investigate the long-time behavior.
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