NON-HOMOGENEOUS REACTION IN A NON-LINEAR DIFFUSION OPERATOR WITH ADVECTION TO MODEL A MASS TRANSFER PROCESS

It is the objective to provide a mathematical treatment of non-homogeneous and non-lipschitz reaction problem with non-linear diffusion advection operator, so that it can be applied fire extinguishing process in aerospace. The main findings are related existence characterization finite propagation support emerges virtue formulation. provided precise assessment on different times associated extinguisher discharge process. Particularly, time required activate discharge, for front cover whole domain, reach minimum level concentration as extinguish by agent some difficult dead zones where propagates only no advection. equation proposed firstly discussed from perspective find analytical solutions propagating profiles. Afterwards, application exercise introduced.