Marcos Solera

activity

20242026

most citedA proof of Vishik's nonuniqueness Theorem for the forced 2D Euler equation

5 citations · 5 across the 3 of their papers we have counts for

collaborators

3 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

Ángel Castro, Daniel Faraco, Francisco Mengual +1

We prove non-uniqueness of weak solutions to the forced $α$ -SQG equation with Sobolev regularity $W^{s, p}$ in the supercritical regime $s < α + \frac{2}{p}$ , covering the 2D Euler e…

math.AP2024★ 5 cited

A proof of Vishik's nonuniqueness Theorem for the forced 2D Euler equation

Ángel Castro, Daniel Faraco, Francisco Mengual +1

We give a simpler proof of Vishik's nonuniqueness Theorem for the forced 2D Euler equation in the vorticity class $L^{1} \cap L^{p}$ with $2 < p < \infty$ . The main simplification is an alt…