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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…
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…