1 citations · 3 across the 11 of their papers we have counts for
11 papers
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…
Vorticity blow-up for the 2D incompressible non-homogeneous Euler equations with uniform force
Diego Córdoba, Andrés Laín-Sanclemente, Luis Martínez-Zoroa
We establish the existence of solutions of the 2D incompressible non-homogeneous Euler equations with …
Finite-time singularity via multi-layer degenerate pendula for the 2D Boussinesq equation with uniform force
Diego Córdoba, Andrés Laín-Sanclemente, Luis Martínez-Zoroa
We establish the existence of compactly supported solutions of the inviscid incompressible 2D Boussinesq equation with force that…
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…
Non Existence and Strong Ill-Posedness in for the Stable IPM Equation
Roberta Bianchini, Diego Córdoba, Luis Martínez-Zoroa
We prove the non-existence and strong ill-posedness of the Incompressible Porous Media (IPM) equation for initial data that are small perturbations of the linea…
Finite time singularities of smooth solutions for the 2D incompressible porous media (IPM) equation with a smooth source
Diego Córdoba, Luis Martínez-Zoroa
We establish the existence of smooth, finite-energy solutions to the 2D incompressible porous media equation (IPM), with a compactly supported uniformly smooth source, which develo…