3 citations · 5 across the 3 of their papers we have counts for
3 papers
math.AP2008
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…
math.AP2008★ 3 cited
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…
math.AP2007★ 2 cited
Existence for the $\al$-patch model and the QG sharp front in Sobolev spaces
Francisco Gancedo
We consider a family of contour dynamics equations depending on a parameter $\al$ with . The vortex patch problem of the 2-D Euler equation is obtained taking ,…