2 papers
math.AP2025
Unstable vortices, sharp non-uniqueness with forcing, and global smooth solutions for the SQG equation
Ãngel 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…
math.AP2024
Entropy solutions to macroscopic IPM
Ãngel 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…