68 citations · 100 across the 11 of their papers we have counts for
4 papers · 1 filter
Local wellposedness for the free boundary incompressible Euler equations with interfaces that exhibit cusps and corners of nonconstant angle
Diego Córdoba, Alberto Enciso, Nastasia Grubic
We prove that free boundary incompressible Euler equations are locally well posed in a class of solutions in which the interfaces can exhibit corners and cusps. Contrary to what ha…
Non existence and strong ill-posedness in and Sobolev spaces for SQG
Diego Córdoba, Luis Martínez-Zoroa
We construct solutions in with finite energy of the surface quasi-geostrophic equations (SQG) that initially are in () but that are not in for…
Existence of gravity-capillary Crapper waves with concentrated vorticity
Diego Córdoba, Elena Di Iorio
The aim of this paper is to prove the existence of gravity-capillary Crapper waves with the presence of vorticity. In particular, we consider a concentrated vorticity: point vortex…
Stability of traveling waves for the Burgers-Hilbert equation
Ángel Castro, Diego Córdoba, Fan Zheng
We consider smooth solutions of the Burgers-Hilbert equation that are a small perturbation from a global periodic traveling wave with small amplitude . We use a modified ene…