50 citations · 172 across the 48 of their papers we have counts for
6 papers · 2 filters
Well-Posedness and Stability Analysis of an Epidemic Model with Infection Age and Spatial Diffusion
Christoph Walker
A compartment epidemic model for infectious disease spreading is investigated, where movement of individuals is governed by spatial diffusion. The model includes infection age of t…
A Remark on a Nonlocal-in-Time Heat Equation
Christoph Walker
Schauder's fixed point theorem is used to derive the existence of solutions to a semilinear heat equation. The equation features a nonlinear term that depends on the time-integral…
The nonlocal mean curvature flow of periodic graphs
Bogdan-Vasile Matioc, Christoph Walker
We establish the well-posedness of the nonlocal mean curvature flow of order for periodic graphs on in all subcritical little Hölder spaces ${\rm h}^{1…
A direct construction of a full family of Whitham solitary waves
Mats Ehrnström, Katerina Nik, Christoph Walker
Starting with the periodic waves earlier constructed for the gravity Whitham equation, we parameterise the solution curves through relative wave height, and use a limiting argument…
An Evolution System for a Class of Age-Structured Diffusive Population Equations
Christoph Walker
Kato's theory on the construction of strongly continuous evolution systems associated with hyperbolic equations is applied to the linear equation describing an age-structured popul…
Stationary states to a free boundary transmission problem for an electrostatically actuated plate
Philippe Laurençot, Christoph Walker
A two-dimensional free boundary transmission problem arising in the modeling of an electrostatically actuated plate is considered and a representation formula for the derivative of…