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math.AP2015★ 2 cited
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…
math.AP2015
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…