139 citations · 786 across the 29 of their papers we have counts for
33 papers
Finite-time singularity formation for angled-crested water waves
Diego Cordoba, Alberto Enciso, Nastasia Grubic
We show that the water waves system is locally wellposed in weighted Sobolev spaces which allow for interfaces with corners. No symmetry assumptions are required. These singular po…
Self-intersecting interfaces for stationary solutions of the two-fluid Euler equations
Diego Cordoba, Alberto Enciso, Nastasia Grubic
We prove that there are stationary solutions to the 2D incompressible free boundary Euler equations with two fluids, possibly with a small gravity constant, that feature a splash s…
Global existence of quasi-stratified solutions for the confined IPM equation
Angel Castro, Diego Córdoba, Daniel Lear
In this paper, we consider a confined physical scenario to prove global existence of smooth solutions with bounded density and finite energy for the inviscid incompressible porous…
Global well-posedness for the 2D stable Muskat problem in
Diego Cordoba, Omar Lazar
We prove a global existence result of a unique strong solution in with small semi-norm for the 2D Muskat problem, hence allowing the…
Global solutions for the generalized SQG patch equation
Diego Córdoba, Javier Gómez-Serrano, Alexandru D. Ionescu
We consider the inviscid generalized surface quasi-geostrophic equation (gSQG) in a patch setting, where the parameter . The cases and correspond to 2d Eu…
Uniformly rotating smooth solutions for the incompressible 2D Euler equations
Angel Castro, Diego Córdoba, Javier Gómez-Serrano
In this paper, we show the existence of a family of compactly supported smooth vorticities, which are solutions of the 2D incompressible Euler equation and rotate uniformly in time…