The Muskat problem involves filtration of two incompressible fluids throughout a porous medium. In this paper we shall discuss in 3-D the relevance of the RayleighTaylor condition, and the topology of the initial interface, in order to prove its local existence in Sobolev spaces.Ministerio de Ciencia e InnovaciónEuropean Research CouncilNational Science Foundatio
The following article appeared in Annals of Mathematics 173.1 (2011):477-542 and may be found at htt...
The Muskat, or Muskat--Leibenzon, problem describes the evolution of the interface between two immis...
The Muskat problem models the dynamics of the interface between two incompressible immiscible fluids...
This paper considers the three dimensional Muskat problem in the stable regime. We obtain a conserva...
We consider the problem of the evolution of the interface given by two incompressible fluids through...
We consider the fluid interface problem given by two incompressible fluids with different densities ...
We consider the problem of the evolution of the interface given by two incompressible fluids through...
In this work we study the evolution of the free boundary between two different fluids in a porous me...
Abstract: We study the fluid problem of the evolution of the interface given by two incompressible f...
The following article appeared in Annals of Mathematics 175.2 (2012): 909-948 and may be found at ht...
The Muskat, or Muskat--Leibenzon, problem describes the evolution of the interface between two immis...
We first prove local-in-time well-posedness for the Muskat problem, modeling fluid flow in a two-d...
We first prove local-in-time well-posedness for the Muskat problem, modeling fluid flow in a two-d...
Abstract The Muskat problem models the evolution of the interface between two different fluids in po...
The Muskat, or Muskat--Leibenzon, problem describes the evolution of the interface between two immis...
The following article appeared in Annals of Mathematics 173.1 (2011):477-542 and may be found at htt...
The Muskat, or Muskat--Leibenzon, problem describes the evolution of the interface between two immis...
The Muskat problem models the dynamics of the interface between two incompressible immiscible fluids...
This paper considers the three dimensional Muskat problem in the stable regime. We obtain a conserva...
We consider the problem of the evolution of the interface given by two incompressible fluids through...
We consider the fluid interface problem given by two incompressible fluids with different densities ...
We consider the problem of the evolution of the interface given by two incompressible fluids through...
In this work we study the evolution of the free boundary between two different fluids in a porous me...
Abstract: We study the fluid problem of the evolution of the interface given by two incompressible f...
The following article appeared in Annals of Mathematics 175.2 (2012): 909-948 and may be found at ht...
The Muskat, or Muskat--Leibenzon, problem describes the evolution of the interface between two immis...
We first prove local-in-time well-posedness for the Muskat problem, modeling fluid flow in a two-d...
We first prove local-in-time well-posedness for the Muskat problem, modeling fluid flow in a two-d...
Abstract The Muskat problem models the evolution of the interface between two different fluids in po...
The Muskat, or Muskat--Leibenzon, problem describes the evolution of the interface between two immis...
The following article appeared in Annals of Mathematics 173.1 (2011):477-542 and may be found at htt...
The Muskat, or Muskat--Leibenzon, problem describes the evolution of the interface between two immis...
The Muskat problem models the dynamics of the interface between two incompressible immiscible fluids...