19 aug 2018 - 25 aug 2018 [open in google calendar]
Department of Mathematical Sciences, Durham University
Homogenisation is a generic term used to describe the derivation of the macroscopic behaviour of systems with many scales in self averaging environments. The theory spans across specific areas of mathematics ranging from probability (law of large numbers, percolation theory, etc.) to partial differential equations (Gamma-convergence and variational problems, viscosity solutions, geometry, etc.) and statistical mechanics and applications in, among others, composite materials, phase transitions, control theory and optimal designs. This workshop aims to bring the different approaches and communities working on random homogenisation together. We will cover a number of current aspects of random homogenisation, in particular with regards to elliptic and parabolic equations, as well as the aforementioned connections to statistical mechanics. We also make connections to modern questions in periodic homogenisation as well as applications and numerical methods.
Organising Committee: Pierre Cardaliaguet (Ceremade), Nicolas Dirr (Cardiff), Patrick Dondl (Freiburg), Panagiotis Souganidis (Chicago).