2 papers
math.AP2026
Blow-up at finite time for the generalized SQG equations in the Sobolev well-posedness regime
Diego Córdoba, Óscar Domínguez, José Lucas-Manchón +1
We prove finite-time singularity formation for the forced generalized surface quasi-geostrophic equation in the singular velocity regime , where corresponds to SQG…
math.AP2025
Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG
Diego Córdoba, José Lucas-Manchón, Luis Martínez-Zoroa
The general surface quasi-geostrophic equation is the scalar transport equation defined by \begin{equation*} \frac{\partial θ}{\partial t}+v^γ_1 \frac{\partial θ}{\partial x_1}+v^γ…