Special Session 27: Mathematical problems in economics, materials and life science: Analysis and simulation of nonlinear multiscale dynamics
Contents
We study the solvability and homogenization of a thermal-diffusion
reaction problem posed in a periodically perforated domain. The system
describes the motion of populations of hot colloidal particles
interacting together via Smoluchowski production terms. The upscaled
system, obtained via two-scale convergence techniques, allows the
investigation of deposition effects in the presence of thermal
gradients. This is joint work with Toyohiko Aiki (Tokyo) and Adrian
Muntean (Eindhoven).