Daniel Faraco

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20242026

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3 papers · 1 filter

math.AP2026

Turbulent Dynamos on Bounded Domains and Their Generalization to the Geometric Transport Equation

Giacomo Del Nin, Daniel Faraco, Sauli Lindberg +1

For any smooth bounded domain $I^c ◯ \subset R^{3}$ , we construct a divergence-free velocity field $u \in L_{t}^{1} W^{1, p} (I^c ◯)$ for all $p < \infty$ , and magnetic fields $B^Îµ\in L…

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 $I^\pm$ -SQG equation with Sobolev regularity $W^{s, p}$ in the supercritical regime $s < I^\pm + \frac{2}{p}$ , covering the 2D Euler…

math.AP2024

Entropy solutions to macroscopic IPM

Ãngel Castro, Daniel Faraco, BjÃ¶rn 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…