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math.AP2018
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…
math.AP2018
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…
math.AP2018
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…