Calculus of Variations and Geometric Measure Theory

Young measures - Basic ideas and recent applications

Marc Oliver Rieger (ETH Zurich, Switzerland)

created by alberti on 01 Nov 2003

27 nov 2003


The second Calcvar seminar will be given by


place: sala riunioni, Centro De Giorgi

date and time: Thursday, November 27, at 5.30 PM

title: Young measures - Basic ideas and recent applications

Abstract: Young measures have been successfully applied to various mathematical problems in material science and other areas. They are used as a tool to study problems which include different length scales, e.g. when microscopical structures affect the global behavior of a material.

In this talk we will give an introduction to Young measures, filling the abstract definitions with some intuitive ideas. We apply this concept to equations modelling shape memory alloys (one-dimensional thermoelasticity with nonconvex energy density) and present a recent existence result (in collaboration with Johannes Zimmer, MPI Leipzig).

Giovanni ALBERTI