2 papers
math.OC2024
Bilinear optimal control for chemotaxis model: The case of two-sidedly degenerate diffusion with Volume-Filling Effect
Georges Chamoun, Mazen Saad, Toni Sayah +1
In this paper, we study an optimal control problem for a coupled non-linear system of reaction-diffusion equations with degenerate diffusion, consisting of two partial differential…
math.NA2024
Recovering the Polytropic Exponent in the Porous Medium Equation: Asymptotic Approach
Hagop Karakazian, Toni Sayah, Faouzi Triki
In this paper we consider the time dependent Porous Medium Equation, with real polytropic exponent , subject to a homogeneous Dirichlet boundary condition. We are…