In this paper we consider a two-phase flow problem in porous media and study its singular limit as the viscosity of the air tends to zero; more precisely, we prove the convergence of subsequences to solutions of a generalized Richards model
The system of equations obtained from the conservation of multiphasic fluids in porous media is usua...
International audienceWe prove global existence of nonnegative weak solutions to a degenerate parabo...
International audienceWe study a one dimensional model for two-phase flows in heterogeneous media, i...
International audienceStarting from a two-phase flow model in porous media with the viscosity of the...
International audienceModels of two-phase flows in porous media, used in petroleum engineering, lead...
International audienceIn this paper we prove the existence of a solution of a coupled system involvi...
Saturation overshoot and hysteresis for two phase flow in porous media are briefly reviewed. Old and...
International audienceThe paper is devoted to the computation of two-phase flows in a porous medium ...
International audienceNeglecting capillary pressure effects in two-phase flow models for porous medi...
The Richards equation is widely used in hydrogeology for modelling flow in an unsaturated porous me...
We introduce an approximation procedure and provide existence results for two-phase flow equations i...
We discuss the sharp interface limit of a diffuse interface model for a two-phase flow of two partly...
In this paper we consider the singular boundary value problem, −z1/pz″=D(f)/(1+p) for 0<f<1 wi...
We consider the problem of the evolution of the interface given by two incompressible fluids through...
The system of equations obtained from the conservation of multiphasic fluids in porous media is usua...
International audienceWe prove global existence of nonnegative weak solutions to a degenerate parabo...
International audienceWe study a one dimensional model for two-phase flows in heterogeneous media, i...
International audienceStarting from a two-phase flow model in porous media with the viscosity of the...
International audienceModels of two-phase flows in porous media, used in petroleum engineering, lead...
International audienceIn this paper we prove the existence of a solution of a coupled system involvi...
Saturation overshoot and hysteresis for two phase flow in porous media are briefly reviewed. Old and...
International audienceThe paper is devoted to the computation of two-phase flows in a porous medium ...
International audienceNeglecting capillary pressure effects in two-phase flow models for porous medi...
The Richards equation is widely used in hydrogeology for modelling flow in an unsaturated porous me...
We introduce an approximation procedure and provide existence results for two-phase flow equations i...
We discuss the sharp interface limit of a diffuse interface model for a two-phase flow of two partly...
In this paper we consider the singular boundary value problem, −z1/pz″=D(f)/(1+p) for 0<f<1 wi...
We consider the problem of the evolution of the interface given by two incompressible fluids through...
The system of equations obtained from the conservation of multiphasic fluids in porous media is usua...
International audienceWe prove global existence of nonnegative weak solutions to a degenerate parabo...
International audienceWe study a one dimensional model for two-phase flows in heterogeneous media, i...