68 citations · 351 across the 40 of their papers we have counts for
4 papers · 2 filters
A note on stability shifting for the Muskat problem II: Stable to Unstable and back to Stable
Diego Córdoba, Javier Gómez-Serrano, Andrej Zlatoš
In this note, we show that there exist solutions of the Muskat problem which shift stability regimes in the following sense: they start stable, then become unstable, and finally re…
Uniformly rotating analytic global patch solutions for active scalars
Angel Castro, Diego Córdoba, Javier Gómez-Serrano
We show that there exists a family of analytic convex global rotating solutions for the vortex patch equations, bifurcating from ellipses. As a byproduct, the analyticity proof can…
Splash singularities for the free boundary Navier-Stokes equations
Angel Castro, Diego Córdoba, Charles Fefferman +2
In this paper, we prove the existence of smooth initial data for the 2D free boundary incompressible Navier-Stokes equations, for which the smoothness of the interface breaks down…
A note on stability shifting for the Muskat problem
Diego Córdoba, Javier Gómez-Serrano, Andrej Zlatoš
In this note, we show that there exist solutions of the Muskat problem that shift stability regimes: they start unstable, then become stable, and finally return to the unstable reg…