3 papers
math.AP2025
Unstable vortices, sharp non-uniqueness with forcing, and global smooth solutions for the SQG equation
Ángel Castro, Daniel Faraco, Francisco Mengual +1
We prove non-uniqueness of weak solutions to the forced -SQG equation with Sobolev regularity in the supercritical regime , covering the 2D Euler e…
math.AP2021
Localized mixing zone for Muskat bubbles and turned interfaces
Ángel Castro, Daniel Faraco, Francisco Mengual
We construct mixing solutions to the incompressible porous media equation starting from Muskat type data in the partially unstable regime. In particular, we consider bubble and tur…
math.AP2018
Degraded mixing solutions for the Muskat problem
Ángel Castro, Daniel Faraco, Francisco Mengual
We prove the existence of infinitely many mixing solutions for the Muskat problem in the fully unstable regime displaying a linearly degraded macroscopic behaviour inside the mixin…