3 papers
math.AP2026
The Cauchy Problem For Quasi-Linear Parabolic Systems Revisited
Isabelle Gallagher, Ayman Moussa
We study a class of parabolic quasilinear systems, in which the diffusion matrix is not uniformly elliptic, but satisfies a Petrovskii condition of positivity of the real part of t…
math.AP2025
Stability of non-conservative cross diffusion model and approximation by stochastic particle systems
Vincent Bansaye, Alexandre Bertolino, Ayman Moussa
We study the stability of non-conservative deterministic cross diffusion models and prove that they are approximated by stochastic population models when the populations become loc…
math.OC2025
Analysis of a toy model for optimal crop protection
Luis Almeida, Aymeric Jacob de Cordemoy, Ayman Moussa +1
In this paper we investigate an optimal control problem involving a toy model for the protection on a crop field. Precisely, we consider a protection on a crop field and we want to…