3 papers
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.NA2025
A discrete data assimilation algorithm for the reconstruction of Gray--Scott dynamics
Tsiry Avisoa Randrianasolo
The Gray--Scott model governs the interaction of two chemical species via a system of reaction-diffusion equations. Despite its simple form, it produces extremely rich patterns suc…
math.NA2025
Convergence and error analysis of a semi-implicit finite volume scheme for the Gray--Scott system
Tsiry Avisoa Randrianasolo
We analyze a semi-implicit finite volume scheme for the Gray--Scott system, a model for pattern formation in chemical and biological media. We prove unconditional well-posedness of…