SEMINARIO DI ANALISI MATEMATICA
https://sites.google.com/view/seminarioanalisiunimi/

 

Nell’ambito del seminario di Analisi Matematica del
Dipartimento di Matematica “Federigo Enriques"

 

Giovedì 9 gennaio 2020 alle ore 14:00

presso la Sala di Rappresentanza
del Dipartimento diMatematica dell'Università degli Studi di Milano,
si terrà il seguente seminario:

 

Luca Scarpa
(University of Vienna)

 

 From nonlocal to local phase-field models: asymptotic analysis and applications

 

Abstract: We give an overview of some recent results
about the convergence of nonlocal Cahn-Hilliard systems
to their respective local counterparts, as the convolution
kernel approximates a Dirac delta.
The double-well potential is allowed to be of logarithmic
or double-obstacle type, and possible viscous and
convective terms are included. The asymptotics is carried
out by means of monotone analysis, variational techniques,
and Gamma convergence results. Finally, applications to
the study of more general nonlocal and local phase-field
models are discussed.

This study is based on joint works with Elisa Davoli and
Lara Trussardi (University of Vienna, Austria).