In this paper we study the evolution of multiple fluids with different constant densities in porous media. This physical scenario is known as the Muskat and the (multi-phase) Hele-Shaw problems. In this context we prove that the fluids do not develop squirt singularities.Ministerio de Ciencia e InnovaciónEuropean Research CouncilNational Science Foundatio
International audienceWe show that the widely used model governing the motion of two incompressible...
We study the dynamics of the interface between two incompressible 2-D flows where the evolution equa...
We prove that the quadratic approximation of the capillarity-driven free-boundary Darcy flow, derive...
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 ...
The Muskat problem involves filtration of two incompressible fluids throughout a porous medium. In t...
This paper shows finite time singularity formation for the Muskat problem in a stable regime. The fr...
In this work we study the evolution of the free boundary between two different fluids in a porous me...
We consider the problem of the evolution of the interface given by two incompressible fluids through...
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...
The Muskat, or Muskat--Leibenzon, problem describes the evolution of the interface between two immis...
Abstract: We study the fluid problem of the evolution of the interface given by two incompressible f...
International audienceWe show that the widely used model governing the motion of two incompressible...
This paper shows a summary of mathematical results about the Muskat problem. The main concern is we...
International audienceWe show that the widely used model governing the motion of two incompressible...
We study the dynamics of the interface between two incompressible 2-D flows where the evolution equa...
We prove that the quadratic approximation of the capillarity-driven free-boundary Darcy flow, derive...
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 ...
The Muskat problem involves filtration of two incompressible fluids throughout a porous medium. In t...
This paper shows finite time singularity formation for the Muskat problem in a stable regime. The fr...
In this work we study the evolution of the free boundary between two different fluids in a porous me...
We consider the problem of the evolution of the interface given by two incompressible fluids through...
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...
The Muskat, or Muskat--Leibenzon, problem describes the evolution of the interface between two immis...
Abstract: We study the fluid problem of the evolution of the interface given by two incompressible f...
International audienceWe show that the widely used model governing the motion of two incompressible...
This paper shows a summary of mathematical results about the Muskat problem. The main concern is we...
International audienceWe show that the widely used model governing the motion of two incompressible...
We study the dynamics of the interface between two incompressible 2-D flows where the evolution equa...
We prove that the quadratic approximation of the capillarity-driven free-boundary Darcy flow, derive...