27 citations · 138 across the 24 of their papers we have counts for
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Weak-strong uniqueness for the general Ericksen-Leslie system in three dimensions
Etienne Emmrich, Robert Lasarzik
We study the Ericksen-Leslie system equipped with a quadratic free energy functional. The norm restriction of the director is incorporated by a standard relaxation technique using…
Existence of weak solutions to the Ericksen-Leslie model for a general class of free energies
Etienne Emmrich, Robert Lasarzik
A quasistatic model due to Ericksen and Leslie describing incompressible liquid crystals is studied for a general class of free energies. Global existence of weak solutions is prov…
Measure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank energy
Robert Lasarzik
In this article, we prove the existence of measure-valued solutions to the Ericksen-Leslie system equipped with the Oseen-Frank energy. We introduce the concept of generalized grad…
Weak-strong uniqueness for measure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank free energy
Robert Lasarzik
We analyze the Ericksen-Leslie system equipped with the Oseen-Frank energy in three space dimensions. Recently, the author introduced the concept of measure-valued solutions to thi…
Nonstationary models for liquid crystals: A fresh mathematical perspective
Etienne Emmrich, Sabine H. L. Klapp, Robert Lasarzik
In this article we discuss nonstationary models for inhomogeneous liquid crystals driven out of equilibrium by flow. Emphasis is put on those models which are used in the mathemati…