Giovedì 7 Giugno 2018, alle ore 15 precise, presso la sala conferenze dell’IMATI-CNR di Pavia, il

Dr. Robert Lasarzik, WIAS Berlino

terrà un seminario dal titolo:

Generalized solution concepts to the Ericksen-Leslie equations modeling liquid crystal flow

nell'ambito del Seminario di Matematica Applicata (IMATI-CNR e Dipartimento di Matematica, Pavia),

http://matematica.unipv.it/it/seminari-matematica-applicata

Al termine della conferenza sarà organizzato un piccolo rinfresco.

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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.