Luis Martínez-Zoroa

activity

20222024

collaborators

4 papers

math.AP2024

Finite time blow-up for the hypodissipative Navier Stokes equations with a force in $L_{t}^{1} C_{x}^{1, ε} \cap L_{t}^{\infty} L_{x}^{2}$

Diego Córdoba, Luis Martínez-Zoroa, Fan Zheng

In this work we establish the formation of singularities of classical solutions with finite energy of the forced fractional Navier Stokes equations where the dissipative term is gi…

math.AP2023

Blow-up for the incompressible 3D-Euler equations with uniform $C^{1, \frac{1}{2} - ε} \cap L^{2}$ force

Diego Córdoba, Luis Martínez-Zoroa

This paper presents a novel approach to establish a blow-up mechanism for the forced 3D incompressible Euler equations, with a specific focus on non-axisymmetric solutions. We cons…

math.AP2023

Finite time singularities to the 3D incompressible Euler equations for solutions in $C^{\infty} (R^{3} ∖ {0}) \cap C^{1, α} \cap L^{2}$

Diego Córdoba, Luis Martínez-Zoroa, Fan Zheng

We introduce a novel mechanism that reveals finite time singularities within the 1D De Gregorio model and the 3D incompressible Euler equations. Remarkably, we do not construct our…

math.AP2022

Non-existence and strong ill-posedness in $C^{k, β}$ for the generalized Surface Quasi-geostrophic equation

Diego Córdoba, Luis Martínez-Zoroa

We consider solutions to the generalized Surface Quasi-geostrophic equation ( $γ$ -SQG) when the velocity is more singular than the active scalar function (i.e. $γ \in (0, 1)$ ). In this…

Finite time blow-up for the hypodissipative Navier Stokes equations with a force in Lt1​Cx1,ε​∩Lt∞​Lx2​

Blow-up for the incompressible 3D-Euler equations with uniform C1,21​−ε∩L2 force

Finite time singularities to the 3D incompressible Euler equations for solutions in C∞(R3∖{0})∩C1,α∩L2

Non-existence and strong ill-posedness in Ck,β for the generalized Surface Quasi-geostrophic equation

Finite time blow-up for the hypodissipative Navier Stokes equations with a force in $L_{t}^{1} C_{x}^{1, ε} \cap L_{t}^{\infty} L_{x}^{2}$

Blow-up for the incompressible 3D-Euler equations with uniform $C^{1, \frac{1}{2} - ε} \cap L^{2}$ force

Finite time singularities to the 3D incompressible Euler equations for solutions in $C^{\infty} (R^{3} ∖ {0}) \cap C^{1, α} \cap L^{2}$

Non-existence and strong ill-posedness in $C^{k, β}$ for the generalized Surface Quasi-geostrophic equation