(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2018) Lasarzik, Robert
In this article, we prove the existence of measure-valued solutions to
the EricksenLeslie system equipped with the OseenFrank energy. We introduce
the concept of generalized gradient Young measures. Via a Galerkin
approximation, we show the existence of weak solutions to a regularized
system and attain measure-valued solutions for vanishing regularization.
Additionally, it is shown that the measure-valued solution fulfills an energy
inequality.
