Articles

1. Micropolar fluids starting from initial angular velocities with negative Sobolev regularity, Preprint (2024)

2. Blow-up of dynamically restricted critical norms near a potential Navier-Stokes singularity, Mathematische Annalen (2023) with Tobias Barker and Christophe Prange (arXiv:2302.06509)

3. Weighted energy estimates for the incompressible Navier-Stokes equations and applications to axisymmetric solutions without swirl, Journal of Mathematical Fluid Mechanics (2021)  with Pierre Gilles  Lemarié-Rieusset  (arXiv:2010.00868)

4. On the use of the Riesz Transforms to determine the pressure term in the incompressible Navier–Stokes equations on the whole space,  Acta Applicandae Mathematicae (2021) with Borys Alvarez Samaniego and Wilson P. Alvarez Samaniego (arXiv:2004.02588)

5. Discretely self-similar solutions for 3D MHD equations and global weak solutions in weighted L2 spaces, Journal of Mathematical Fluid Mechanics (2021) with Oscar Jarrin (arXiv:1910.11267)

6. Weak-strong uniqueness in weighted L2 spaces and weak suitable solutions in local Morrey spaces for the  MHD equations, Journal of Differential Equations (2021) with Oscar Jarrin (arXiv:2002.10531)

7. Characterisation of the pressure term in the incompressible Navier–Stokes equations on the whole space, Disc. Cont. Dyn. Systems DCDS (2020) with Pierre Gilles  Lemarié-Rieusset (arXiv:2001.10436)

8. Weak solutions for Navier–Stokes equations with initial data in weighted L2 spaces, Arch Rational Mech Anal (2020), with Pierre Gilles  Lemarié-Rieusset (arXiv:1906.11038)

 Current interests

• Discretely selfsimilar solutions

• Results of epsilon-regularity for the Navier-Stokes equations

 CV Link to pdf

Teaching activity

1. 2023 Physics (Undergraduate, Universidad de las Américas, Ecuador)

2. 2023    Exercices courses on analysis-probability (pré-ING 2, CY Tech, France)

3. 2020 Exercices courses on analysis (Undergraduate, Université d'Evry, France)

4. 2019 Exercices courses on analysis (Undergraduate, Université d'Evry, France)

Thesis 

Mathematics, Study of the existence of infinite energy weak solutions to the incompressible Navier-Stokes equations

Advisor : Pierre Gilles Lemarié-Rieusset

Université Paris Saclay

Doctoral School of Mathematics Hadamard EDMH, Laboratoire de Mathématiques et Modélisation d’Évry LaMME (France).