For those interested in this topic, we are organizing a minisymposium at the European Solid Mechanics Conference (sponsored by EUROMECH) in Bologna, in 2018, see session 9.2:
http://www.esmc2018.org/drupal8/node/9
Some examples are:
Reaction diffusion and Brinkman flow to model chemical reactions and the motion of a contaminated viscous fluid:
Recent comments