A model for pollution in a porous medium. (Sur un modèle de pollution en milieu poreux.) (French. English summary) Zbl 1254.76137
Summary: The ground is assumed to be a rigid porous medium, absorption is neglected, and the gaseous extraction is supposed to take place at a constant speed \(v\). A macroscopic mathematical model is presented for describing the limit rate of mass transfer between the liquid and gaseous phases, and the existence and uniqueness of a solution is proved by using the monotonicity method.
MSC:
76S05 | Flows in porous media; filtration; seepage |
76T10 | Liquid-gas two-phase flows, bubbly flows |
76D03 | Existence, uniqueness, and regularity theory for incompressible viscous fluids |