Calculus of Variations and Geometric Measure Theory

Introduction to the homogenization of singularly perturbed operators

created by braidesa on 05 May 2018

8 may 2018 - 10 may 2018   [open in google calendar]

Dipartimento di Matematica - Università di Roma "Tor Vergata"

A short course at PhD and research level.

In the course two types of singularly perturbed operators will be considered. First we will consider homogenization problems for periodic linear convection-diffusion operators with a large convection term. Our goal is to show that these operators admit homogenization in moving coordinates. We will determine the effective speed and diffusion matrix and then prove convergence. The second part of the course will focus on homogenization of spectral problem for a symmetric second-order elliptic operator with locally periodic coefficients and a large potential. We will construct the limit spectral problem and prove the convergence of the eigenpairs.

Lecture 1: Tuesday May 8 at 11:00 Lecture 2: Thursday May 10 at 11:00

Organizers: Andrea Braides.

Speakers: Andrey Piatnitski.