50 citations · 172 across the 48 of their papers we have counts for
7 papers · 2 filters
Some Results Based on Maximal Regularity Regarding Population Models with Age and Spatial Structure
Christoph Walker
We review some results on abstract linear and nonlinear population models with age and spatial structure. The results are mainly based on the assumption of maximal -regularity…
A constrained model for MEMS with varying dielectric properties
Philippe Laurencot, Christoph Walker
A semilinear parabolic equation with constraint modeling the dynamics of a microelectromechanical system (MEMS) is studied. In contrast to the commonly used MEMS model, the well-kn…
Heterogeneous dielectric properties in MEMS models
Philippe Laurencot, Christoph Walker
An idealized electrostatically actuated microelectromechanical system (MEMS) involving an elastic plate with a heterogeneous dielectric material is considered. Starting from the el…
Some singular equations modeling MEMS
Philippe Laurencot, Christoph Walker
In the past fifteen years mathematical models for microelectromechanical systems (MEMS) have been the subject of several studies, in particular due to the interesting qualitative p…
On a model for a sliding droplet:Well-posedness and stability of translating circular solutions
Patrick Guidotti, Christoph Walker
In this paper the model for a highly viscous droplet sliding down an inclined plane is analyzed. It is shown that, provided the slope is not too steep, the corresponding moving bou…
Uniqueness of Weak Solutions to a Prion Equation with Polymer Joining
Elena Leis, Christoph Walker
We consider a model for prion proliferation that includes prion polymerization, polymer splitting, and polymer joining. The model consists of an ordinary differential equation for…