Part 1: Introduction to homogenisation and Gamma-Convergence

Event Start
Event End
Location
Auditorium 0215 (between building 2 and 3)
Filippo Cagnetti, Senior Lecturer in Mathematics, University of Sussex, UK

Abstract

We will start by introducing  the notion of Gamma-convergence and its main properties. We will then show how this can be applied  to the study of homogenization of integral functionals. This includes, as a particular case, the homogenization of uniformly elliptic PDEs.

Lecture 1
  • The homogenisation problem
  • Gamma-convergence
    • definition
    • main properties
    • examples
    • comparison with pointwise limit
  • Lower semicontinuity, lower semicontinuous envelope
  • Coercivity

Brief Biography

Filippo Cagnetti got a Master degree in Physics in 2003, at University "La Sapienza" in Rome, Italy. In 2007 he obtained a Ph.D.in Applied Mathematics at SISSA, Trieste, Italy, under the supervision of Gianni Dal Maso and Massimiliano Morini. After that, he has been postdoctoral associate in the Carnegie Mellon|Portugal UT Austin|Portugal programs, spending 1 year and a half at Carnegie Mellon University, Pittsburgh, USA, 6 months at University of Texas, Austin, USA, and 3 years at Instituto Superior Tecnico, Lisbon, Portugal. In 2013, he joined the University of Sussex, where he is now Senior Lecturer in Mathematics (Mathematics, Analysis and Partial Differential Equations Research Group).

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