Marcos Solera

collaborators

2 papers

math.AP2026

Sharp nonuniqueness for the forced 2D Navier-Stokes and dissipative SQG equations

Francisco Mengual, Marcos Solera

We prove a sharp nonuniqueness result for the forced generalized SQG equation. First, this yields nonunique $H ˙^{s}$ - energy solutions below the Miura-Ju class. In particular, t…

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…