We study a seawater intrusion problem in a confined aquifer. This process can be formulated as a coupled system of partial differential equations which includes an elliptic and a degenerate parabolic equation. Existence results of weak solutions, under realistic assumptions, are established through time discretization combined with parabolic regularization
AbstractThe flow of two immiscible and incompressible fluids in a porous medium is described by a sy...
AbstractWe prove the uniqueness (as well as the existence and regularity) of solutions of the Cauchy...
AbstractWe consider a system of nonlinear coupled partial differential equations that models immisci...
In this paper we study a degenerate parabolic system, which is strongly coupled. We prove general ex...
In this paper, we consider the ow of fresh and saltwater in a saturated porous medium in order to d...
We consider a strongly-coupled nonlinear parabolic system which arises from seawater intrusion in co...
We consider a model mixing sharp and diffuse interface approach for the seawater intrusion phenomenon...
In this paper, we consider a degenerate pseudo-parabolic equation modeling two-phase flow in porous ...
Henry’s formulation of seawater intrusion in coastal aquifers consists of a fully coupled system of ...
Seawater intrusion is one of groundwater quality problem which in this problem, the mixing between f...
We consider a model of water-gas flow in porous media with an incompressible water phase and a comp...
In this paper, we analyze a degenerate elliptic-parabolic system which describes the flow of two inc...
We prove existence of solutions of a new free boundary problem described by a system of degenerate p...
AbstractThis is the first paper of a series in which we analyze mathematical properties and develop ...
In this paper, we investigate a class of degenerate pseudo-parabolic equations. Such equations model...
AbstractThe flow of two immiscible and incompressible fluids in a porous medium is described by a sy...
AbstractWe prove the uniqueness (as well as the existence and regularity) of solutions of the Cauchy...
AbstractWe consider a system of nonlinear coupled partial differential equations that models immisci...
In this paper we study a degenerate parabolic system, which is strongly coupled. We prove general ex...
In this paper, we consider the ow of fresh and saltwater in a saturated porous medium in order to d...
We consider a strongly-coupled nonlinear parabolic system which arises from seawater intrusion in co...
We consider a model mixing sharp and diffuse interface approach for the seawater intrusion phenomenon...
In this paper, we consider a degenerate pseudo-parabolic equation modeling two-phase flow in porous ...
Henry’s formulation of seawater intrusion in coastal aquifers consists of a fully coupled system of ...
Seawater intrusion is one of groundwater quality problem which in this problem, the mixing between f...
We consider a model of water-gas flow in porous media with an incompressible water phase and a comp...
In this paper, we analyze a degenerate elliptic-parabolic system which describes the flow of two inc...
We prove existence of solutions of a new free boundary problem described by a system of degenerate p...
AbstractThis is the first paper of a series in which we analyze mathematical properties and develop ...
In this paper, we investigate a class of degenerate pseudo-parabolic equations. Such equations model...
AbstractThe flow of two immiscible and incompressible fluids in a porous medium is described by a sy...
AbstractWe prove the uniqueness (as well as the existence and regularity) of solutions of the Cauchy...
AbstractWe consider a system of nonlinear coupled partial differential equations that models immisci...