17 citations · 40 across the 11 of their papers we have counts for
8 papers · 1 filter
Analysis of a model for the dynamics of microswimmer suspensions
Etienne Emmrich, Lukas Geuter
In this paper, a model that was recently derived in Reinken et al. [11] to describe the dynamics of microswimmer suspensions is studied. In particular, the global existence of weak…
On a multivalued differential equation with nonlocality in time
André Eikmeier, Etienne Emmrich
The initial value problem for a multivalued differential equation is studied, which is governed by the sum of a monotone, hemicontinuous, coercive operator fulfilling a certain gro…
Existence of weak solutions to a dynamic model for smectic-A liquid crystals under undulations
Etienne Emmrich, Robert Lasarzik
A nonlinear model due to Soddemann et al. [37] and Stewart [38] describing incompressible smectic-A liquid crystals under flow is studied. In comparison to previously considered mo…
Nonlinear evolution equations with exponentially decaying memory: Existence via time discretisation, uniqueness, and stability
André Eikmeier, Etienne Emmrich, Hans-Christian Kreusler
The initial value problem for an evolution equation of type is studied, where is a monotone, coercive operator and where induc…
Convergence of the backward Euler scheme for the operator-valued Riccati differential equation with semi-definite data
Monika Eisenmann, Etienne Emmrich, Volker Mehrmann
For initial value problems associated with operator-valued Riccati differential equations posed in the space of Hilbert--Schmidt operators existence of solutions is studied. An exi…
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…