A. Castro

activity

20082026

most citedBreakdown of smoothness for the Muskat problem

99 citations · 516 across the 20 of their papers we have counts for

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Showing 2026 · math.APShow all

2 papers · 2 filters

math.AP2026

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 $θ_{t} - u θ_{x} = 0$ , $u = H θ$ , on the real line with analytic initial datum $θ_{0} (x) = (1 + x^{2})^{- 1}$ develops a finite-time…

math.AP2026

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…