| 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 optimal control problems for 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). |
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