Mohamed Amine Ouchdiri

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math.OC2026

How Much Spatial Control Is Enough? Subdomain Optimal Control of Reaction-Diffusion Systems in Synthetic Developmental Biology

Mohamed Amine Ouchdiri, Hamza Faquir, Saad Benjelloun +1

Reaction--diffusion systems can produce spatial patterns such as stripes and spots by diffusion-driven instability. In synthetic developmental biology, such patterns are engineered…

math.OC2026

$H^{2}$ Stabilization of the $2$ -D and $3$ -D Heat Equation via Modal Decomposition

Mohamed Amine Ouchdiri, Mohamed-Camil Belhadjoudja, Mohamed Maghenem +2

Modal decomposition has been used recently to achieve boundary stabilization of linear parabolic equations in the $H^{1}$ norm, in two and three dimensions. In one dimension, $H^{1}$ e…

math.OC2025

An optimal-control framework for reaction diffusion systems with application to synthetic developmental biology

Mohamed Amine Ouchdiri, Hamza Faquir, Saad Benjelloun +3

Reaction-diffusion systems offer a powerful framework for understanding self-organized patterns in biological systems, yet controlling these patterns remains a significant challeng…

How Much Spatial Control Is Enough? Subdomain Optimal Control of Reaction-Diffusion Systems in Synthetic Developmental Biology

H2 Stabilization of the 2-D and 3-D Heat Equation via Modal Decomposition

An optimal-control framework for reaction diffusion systems with application to synthetic developmental biology

$H^{2}$ Stabilization of the $2$ -D and $3$ -D Heat Equation via Modal Decomposition