Mark van den Bosch

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math.AP2025

Local Phase Tracking and Metastability of Planar Waves in Stochastic Reaction-Diffusion Systems

Mark van den Bosch, Hermen Jan Hupkes

Planar travelling waves on $R^{d},$ with $d \geq 2,$ are shown to persist in systems of reaction-diffusion equations with multiplicative noise on significantly long timescale…

math.AP2024

Multidimensional Stability of Planar Travelling Waves for Stochastically Perturbed Reaction-Diffusion Systems

Mark van den Bosch, Hermen Jan Hupkes

We consider reaction-diffusion systems with multiplicative noise on a spatial domain of dimension two or higher. The noise process is white in time, coloured in space, and invarian…