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

Abstract.

The second Calcvar seminar will be given by

MARC OLIVER RIEGER (SNS)

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