99 citations · 516 across the 20 of their papers we have counts for
26 papers
Hölder estimates up to the singular time for the Córdoba-Córdoba-Fontelos equation
Ángel Castro, Alberto Enciso, Antonio J. Fernández
We prove that the solution to the Córdoba-Córdoba-Fontelos equation , , on the real line with analytic initial datum develops a finite-time…
Smooth nonradial stationary solutions to SQG via the half-Yamabe equation
Ángel Castro, Antonio J. Fernández, Claudia García
We prove the existence of infinitely many smooth nonradial stationary solutions to the surface quasi-geostrophic (SQG) equation with finite kinetic energy. Our construction is base…
Global-in-time estimates for the 2D one-phase Muskat problem with contact points
Edoardo Bocchi, Ángel Castro, Francisco Gancedo
In this paper, we study the dynamics of a two-dimensional viscous fluid evolving through a porous medium or a Hele-Shaw cell, driven by gravity and surface tension. A key feature o…
A proof of Vishik's nonuniqueness Theorem for the forced 2D Euler equation
Ángel Castro, Daniel Faraco, Francisco Mengual +1
We give a simpler proof of Vishik's nonuniqueness Theorem for the forced 2D Euler equation in the vorticity class with . The main simplification is an alt…
Entropy solutions to macroscopic IPM
Ángel Castro, Daniel Faraco, Björn Gebhard
We investigate maximal potential energy dissipation as a selection criterion for subsolutions (coarse grained solutions) in the setting of the unstable Muskat problem. We show that…
Traveling waves near Couette flow for the 2D Euler equation
Ángel Castro, Daniel Lear
In this paper we reveal the existence of a large family of new, nontrivial and smooth traveling waves for the 2D Euler equation at an arbitrarily small distance from the Couette fl…