主讲人简介

Morgan Pierre is a professor of Universityof Poitiers, France. His research field is models of phase transition and phaseseparation, such as Allen-Cahn and Cahn-Hilliard type equations.

内容摘要

We consider a space semidiscretization of the Allen-Cahn equation byP1 finite elements. We build a family of exponential attractors associated tothe discretized equations which is robust as the mesh parameterhtends to 0. Asa corollary, we obtain an upper bound on the fractal dimension of the globalattractor which is independent of h.Our proof is adapted from the result ofEfendiev, Miranville and Zelik concerning the continuity of exponentialattractors under perturbation of the underlying semigroup. We will also discussthe case of a time discretization and some perspectives.

报告主持：秦玉明  教授

报告语言：英语