Tuesday, 18 September 2018, 3 p.m. (sharp),
d.ssa Lara Trussandi, Universität Wien
at the conference room of IMATI-CNR in Pavia, will give a lecture titled:
From nonlocal to local Cahn-Hilliard equation
as part of the Applied Mathematics Seminar (IMATI-CNR e Dipartimento di Matematica, Pavia).
At the end a refreshment will be organized.
The Cahn-Hilliard equation is widely used in the study of phase field models. A nonlocal version of the equation, proposed by Giacomin and Lebowitz, attracted great interest in recent years. In this talk I will present the convergence of a nonlocal version of the Cahn-Hilliard equation to its local counterpart as the nonlocal convolution kernel approximates a Dirac delta in a periodic boundary conditions setting. This convergence result strongly relies on the dynamics of the problem. More precisely, the H-1 -gradient flow structure of the equation allows to deduce uniform H1 estimates for solutions of the nonlocal Cahn-Hilliard equation and, together with a Poincaré type inequality by Ponce, provides the compactness argument that allows to prove the convergence result.