3 papers
math.AP2024
Stability of asymptotic waves in the Fisher-Stefan equation
T. T. H. Bui, P. van Heijster, R. Marangell
We establish spectral, linear, and nonlinear stability of the vanishing and slow-moving travelling waves that arise as time asymptotic solutions to the Fisher-Stefan equation. Nonl…
math.AP2023
Waves in a Stochastic Cell Motility Model
Christian Hamster, Peter van Heijster
In Bhattacharya et al. (Science Advances, 2020), a set of chemical reactions involved in the dynamics of actin waves in cells was studied. Both at the microscopic level, where the…
math.DS2014
A geometric construction of travelling wave solutions to the Keller-Segel model
Kristen Harley, Peter van Heijster, Graeme Pettet
We study a version of the Keller-Segel model for bacterial chemotaxis, for which exact travelling wave solutions are explicitly known in the zero attractant diffusion limit. Using…