We prove a global existence result for a model describing the swarming phenomenon of the bacterium Proteus mirabilis. The model consists of an ordinary differential equation coupled with an age-structured equation involving nonlinear degenerate diffusion and an additional drift term.
Cite
@article{arxiv.0809.1350,
title = {Proteus mirabilis swarm-colony development with drift},
author = {Philippe Laurençot and Christoph Walker},
journal= {arXiv preprint arXiv:0809.1350},
year = {2008}
}