Combustion model in a multilayer porous medium: quasi-linear problem

Combustion processes in porous media occur in many important applications, such as in-situ oil reservoirs and biogas production in sanitary landfills. In oil recovery, the porous medium where combustion takes place consists of layers with different physical properties.Understanding how temperature changes during and after the combustion process is important for making decisions about the oil recovery process. We analyze a one-dimensional reaction-diffusion-convection model, where temperature and gas concentration are the unknowns in the layers.