Interacting particles meet homogenization and measure theory
A Karlstad University Autumn school meant for PhD students and young researchers.
Date
29-30 November and 1st of December, 2021
Venue
Department of Mathematics and Computer Science, Karlstad University - via Zoom
DESCRIPTION AND AIM OF THE SCHOOL
The expected audience to this online autumn school are advanced master students, PhD students, and researchers working in the field of applied analysis with interest in multiscale modeling, mathematical analysis, and numerical simulation of stochastically interacting particles and/or partial differential equations.
The proposed mini-courses, chosen topics, and working techniques are meant to prepare the researcher to work with complex mathematical models where either microstructures, stochastic fluctuations, defects, or loosely-controlled perturbations interact via multiple space scales with evolution equations. Situations of this type arise in material and life sciences. One of the roles of mathematicians is to provide suitable reduction techniques, where the trust into the "model reduction" procedure is guaranteed in terms of either rigorous or computable estimates.
PROGRAM
There will be three mini-courses:
Homogenization results for Fick and Focker-Plank equations in composite media with periodic microstructures
Collective dynamics of interacting particle systems
A measure theoretical framework: Linking continuum and individual-based models
SPEAKERS
Micol Amar (Rome, Italy)
Hong Duong (Birmingham, UK)
Sander Hille (Leiden, The Netherlands)
SCIENTIFIC ORGANIZER
Adrian Muntean (Karlstad, Sweden)
WORKSHOP COORDINATOR
REGISTRATION
No fees are requested, but registration is mandatory.