23 citations · 31 across the 7 of their papers we have counts for
7 papers
Stochastic Nonlinear Waves in all the Right Phases
C. H. S. Hamster
I present an overview of different phases used in the literature to describe the phase of travelling waves in reaction-diffusion equations. The discussion is tailored to understand…
Conditional Speed and Shape Corrections for Travelling Wave Solutions to Stochastically Perturbed Reaction-Diffusion Systems
Mark van den Bosch, Christian H. S. Hamster, Hermen Jan Hupkes
In this work we perform rigorous small noise expansions to study the impact of stochastic forcing on the behaviour of planar travelling wave solutions to reaction-diffusion equatio…
Stability of Travelling Waves on Exponentially Long Timescales in Stochastic Reaction-Diffusion Equations
Christian Hamster, Hermen Jan Hupkes
In this paper we establish the meta-stability of travelling waves for a class of reaction-diffusion equations forced by a multiplicative noise term. In particular, we show that the…
Travelling Waves for Reaction-Diffusion Equations Forced by Translation Invariant Noise
Christian Hamster, Hermen Jan Hupkes
Inspired by applications, we consider reaction-diffusion equations on that are stochastically forced by a small multiplicative noise term that is white in time, colour…
Stability of Traveling Waves for Systems of Reaction-Diffusion Equations with Multiplicative Noise
Christian Hamster, Hermen Jan Hupkes
We consider reaction-diffusion equations that are stochastically forced by a small multiplicative noise term. We show that spectrally stable traveling wave solutions to the determi…
Speciation in a MacArthur model predicts growth, stability and adaptation in ecosystems dynamics
Elena Bellavere, Christian H. S. Hamster, Joshua A. Dijksman
Ecosystems dynamics is often considered as driven by a coupling of species' resource consumption and its population size dynamics. Such resource-population dynamics is captured by…
Stability of Travelling Waves for Reaction-Diffusion Equations with Multiplicative Noise
C. H. S. Hamster, H. J. Hupkes
We consider reaction-diffusion equations that are stochastically forced by a small multiplicative noise term. We show that spectrally stable travelling wave solutions to the determ…