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math.AP2025
Weak solutions for coupled reaction-diffusion systems with pattern formation by a stochastic fixed point theorem
Erika Hausenblas, Michael A. Högele, Tesfalem A. Tegegn
Chemical and biochemical reactions can exhibit surprisingly different behaviours, ranging from multiple steady-state solutions to oscillatory solutions and chaotic behaviours. Thes…
math.AP2011
Asymptotic first exit times of the Chafee-Infante equation with small heavy-tailed Lévy noise
Arnaud Debussche, Michael Högele, Peter Imkeller
We study the first exit times form a reduced domain of attraction of a stable fixed of the Chafee-Infante equation when perturbed by a heavy tailed Lévy noise with small intensity.