1 citations · 3 across the 11 of their papers we have counts for
12 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 …
Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation
In-Jee Jeong, Luis Martínez-Zoroa, Wojciech S. Ożański
We prove instantaneous and continuous-in-time loss of supercritical Sobolev regularity for the 3D incompressible Euler equations in . Namely, for any …
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…