Regularity and Spatially Distributed Solutions for Interacting Gases in Complex Domains

The modeling of the interaction of gases in complex geometries is typically a difficult task. This may be given because of the effect of diffusion, advection and reaction/absorption mechanisms. In some cases, the interaction of gases involving fuel can lead to an explosive condition (e.g., in fuel tanks). Our intention is to introduce a model to understand the interaction between oxygen and nitrogen in a fuel tank and how to produce an inert airspace. We develop new regularity conditions and obtain flat and spatially distributed solutions.