68 citations · 100 across the 11 of their papers we have counts for
5 papers · 1 filter
On the existence of stationary splash singularities for the Euler equations
Diego Córdoba, Alberto Enciso, Nastasia Grubic
In this paper we discuss the existence of stationary incompressible fluids with splash singularities. Specifically, we show that there are stationary solutions to the Euler equatio…
Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations
Angel Castro, Diego Córdoba, Javier Gómez-Serrano
Motivated by the recent work of Hassainia and Hmidi [Z. Hassainia, T. Hmidi - On the {V}-states for the generalized quasi-geostrophic equations,arXiv preprint arXiv:1405.0858], we…
Non-splat singularity for the one-phase Muskat problem
Diego Córdoba, Tania Pernas-Castaño
For the water waves equations, the existence of splat singularities has been shown in [3], i.e., the interface self-intersects along an arc in finite time. The aim of this paper is…
Structural stability for the splash singularities of the water waves problem
Angel Castro, Diego Córdoba, Charles Fefferman +2
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 g…
Remarks on geometric properties of SQG sharp fronts and -patches
Angel Castro, Diego Córdoba, Javier Gómez-Serrano +1
Guided by numerical simulations, we present the proof of two results concerning the behaviour of SQG sharp fronts and -patches. We establish that ellipses are not rotational sol…