3 papers
math.AP2026
Reaction-Diffusion System Approximation to the Fast Diffusion Equation
Hideki Murakawa, Florian Salin
This paper proposes a novel reaction-diffusion system approximation tailored for singular diffusion problems, typified by the fast diffusion equation. While such approximation meth…
math.NA2024
Structure-preserving scheme for fractional nonlinear diffusion equations
Hélène Hivert, Florian Salin
In this paper, we introduce and analyze a numerical scheme for solving the Cauchy-Dirichlet problem associated with fractional nonlinear diffusion equations. These equations genera…
math.AP2024
Energy solutions of the Cauchy-Dirichlet problem for fractional nonlinear diffusion equations
Goro Akagi, Florian Salin
The present paper is concerned with the Cauchy-Dirichlet problem for fractional (and non-fractional) nonlinear diffusion equations posed in bounded domains. Main results consist of…