68 citations · 351 across the 40 of their papers we have counts for
3 papers · 2 filters
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…
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…