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math.AP2025
Reduced dynamics for models of pattern formation
Erika Hausenblas, Tsiry Avisoa Randrianasolo
The goal of this work is to analyze the long-term behavior of reaction-diffusion systems arising in two-species chemical models and to identify finite sets of modes that determine…
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…