139 citations · 833 across the 40 of their papers we have counts for
4 papers · 1 filter
Interface evolution: water waves in 2-D
Antonio Cordoba, Diego Cordoba, Francisco Gancedo
We study the free boundary evolution between two irrotational, incompressible and inviscid fluids in 2-D without surface tension. We prove local-existence in Sobolev spaces when, i…
A naive parametrization for the vortex-sheet problem
Angel Castro, Diego Cordoba, Francisco Gancedo
We consider the dynamics of a vortex sheet that evolves by the Birkhoff-Rott equations. The fluid evolution is understood as a weak solution of the incompressible Euler equations w…
Interface evolution: the Hele-Shaw and Muskat problems
Antonio Cordoba, Diego Cordoba, Francisco Gancedo
We study the dynamics of the interface between two incompressible 2-D flows where the evolution equation is obtained from Darcy's law. The free boundary is given by the discontinui…
Incompressible flow in porous media with fractional diffusion
A. Castro, D. Cordoba, F. Gancedo +1
In this paper we study the heat transfer with a general fractional diffusion term of an incompressible fluid in a porous medium governed by Darcy's law. We show formation of singul…