3 papers
math.AP2026
Right and Wrong Ansätze for Nonlinear Waves in Stochastic PDEs
C. H. S. Hamster
I investigate the possibility that explicit solutions of stochastic reaction-diffusion equations can be found by multiplying the deterministic travelling waves with a stochastic ex…
q-bio.PE2025
Random Evolutionary Dynamics in Predator-Prey Systems Yields Large, Clustered Ecosystems
Christian Hamster, Jorik Schaap, Peter van Heijster +1
We study the effect of speciation, i.e. the introduction of new species through evolution into communities, in the setting of predator-prey systems. Predator-prey dynamics is class…
math.AP2024
Blurring the Busse balloon: Patterns in a stochastic Klausmeier model
Christian Hamster, Peter van Heijster, Eric Siero
We investigate (in)stabilities of periodic patterns under stochastic forcing in reaction-diffusion equations exhibiting a so-called Busse balloon. Specifically, we used a one-dimen…