Mathematical Advances for Complex Materials with Microstructures
April 8 - 12, 2024
Welcome to the webpage of the Spring School Mathematical Advances for Complex Materials with Microstructures. The workshop will be held from the 8th until the 12nd of April 2024 at the Institute of Mathematics of the University of Würzburg.
This spring school aims to provide a forum to highlight some recent mathematical theories, that address several analytical challenges of complex materials with microstructure, such as nematic liquid crystals, colloids, electronic structures and elastomers.
Contrarily to standard materials, the mathematical understanding of these media continues to improve as new experiments and applications become available. The rather involved characteristics and phenomena that these materials present is reflected by the underlying partial differential equations or energy functionals that model their structure and/or dynamics.
We aim to convey a broad spectrum of subjects, by means of advanced techniques in the theory of partial differential equations, multiscale analysis and the calculus of variations.