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math.AP2016★ 50 cited
Uniformly rotating smooth solutions for the incompressible 2D Euler equations
Angel Castro, Diego Córdoba, Javier Gómez-Serrano
In this paper, we show the existence of a family of compactly supported smooth vorticities, which are solutions of the 2D incompressible Euler equation and rotate uniformly in time…
math.AP2016
Mixing solutions for the Muskat problem
Ángel Castro, Diego Córdoba, Daniel Faraco
We prove the existence of mixing solutions of the incompressible porous media equation for all Muskat type initial data in the fully unstable regime. The proof combines conve…
math.AP2016
Global smooth solutions for the inviscid SQG equation
Angel Castro, Diego Córdoba, Javier Gómez-Serrano
In this paper, we show the existence of the first non trivial family of classical global solutions of the inviscid surface quasi-geostrophic equation.