| Abstract: |
| There are some studies on local asymptotics for nonlocal problems.
For example, Davoli--Scarpa--Trussardi (2021) and Abels--Terasawa (2022)
have studied nonlocal-to-local convergence of Cahn--Hilliard equations.
On the other hand, regarding phase field systems,
in the case of a conserved phase field system related to entropy balance,
nonlocal-to-local convergence has already been confirmed (K. (2022)).
In this talk, we focus on convergence of a nonlocal phase field system with inertial term
to a parabolic-hyperbolic phase field system.
This is a joint work with Professors Pierluigi Colli (University of Pavia)
and Luca Scarpa (Polytechnic University of Milan). |
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