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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…