2 papers
math.AP2025
Local asymptotics for the nonlocal Swift-Hohenberg equation
Elisa Davoli, Christian Kuehn, Luca Scarpa +1
The nonlocal-to-local asymptotics investigation for evolutionary problems is a central topic both in the theory of PDEs and in functional analysis. More recently, it became the mai…
math.AP2024
Nonlocal to local convergence of phase field systems with inertial term
Pierluigi Colli, Shunsuke Kurima, Luca Scarpa
This paper deals with a nonlocal model for a hyperbolic phase field system coupling the standard energy balance equation for temperature with a dynamic for the phase variable: the…