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Artículo
Existence for the α-patch model and the QG sharp front in Sobolev spaces
(Elsevier, 2008-04-01)
We consider a family of contour dynamics equations depending on a parameter α with 0<α⩽1. The vortex patch problem of the 2-D Euler equation is obtained taking α→0, and the case α=1 corresponds to a sharp front of the QG ...
Artículo
Structural stability for the splash singularities of the water waves problem
(American Institute of Mathematical Sciences, 2014-12)
In this paper we show a structural stability result for water waves. The main motivation for this result is that we would like to exhibit a water wave whose interface starts as a graph and ends in a splash. Numerical ...