4 papers
Existence of strong solutions for the Oldroyd model with multivalued right-hand side
André Eikmeier
The initial value problem for a coupled system is studied. The system consists of a differential inclusion and a differential equation and models the fluid flow of a viscoelastic f…
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…
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…
Why more physics can help achieving better mathematics
André Eikmeier, Etienne Emmrich, Eckehard Schöll
In this paper, we discuss the question whether a physical "simplification" of a model makes it always easier to study, at least from a mathematical and numerical point of view. To…