Eliot Pacherie

Chargé de recherche CNRS at CY Cergy University

UFR Sciences et Techniques,

AGM - Département Mathématiques,

Bureau E 505

2, avenue Adolphe Chauvin

95302 Cergy-Pontoise

eliot.pacherie<at>cyu.fr

Publications

1. With David Chiron, Smooth branch of travelling waves for the Gross-Pitaevskii equation in R^2 for small speed. Ann. Sc. Norm. Super. Pisa Cl. Sci., (5) 22 (2021), no. 4

2. With David Chiron, Coercivity for travelling waves in the gross-pitaevskii equation in R^2 for small speed. Publ. Mat. 67 (1) 277 – 410, 2023

3. With David Chiron, A uniqueness result for the two vortex travelling wave in the Nonlinear Schrodinger equation. Anal. PDE 16 (9), 2023

4. With Philippe Gravejat and Didier Smets, On the stability of the Ginzburg–Landau vortex. Proc. London Math. Soc., 125: 1015-1065, 2022

5. With Tej-Eddine Ghoul and Nader Masmoudi, Localisation of perturbations of a constant state in a traffic flow model. Preprint

6. With Tej-Eddine Ghoul and Nader Masmoudi, Nonlinear enhanced dissipation in viscous Burgers type equations. accepted in Ann. IHP Anal. Non Lineaire

7. With Tej-Eddine Ghoul and Nader Masmoudi, Nonlinear enhanced dissipation in viscous Burgers type equations II. CPDE, 48:10-12

8. With Mohamed Ghattassi and Nader Masmoudi, Stability Analysis of a Non-Separable Mean-Field Games for Pedestrian Flow in Large Corridors. Preprint
9. With Nicola De Nitti, Nested discontinuous asymptotic profiles for the viscous Burgers equation with infinite mass. Preprint
10. With Giuseppe Maria Coclite, Nicola De Nitti and Ola H. Maehlen, Zero diffusion-dispersion limit for the Benjamin-Ono-Burgers equation. Preprint
11. With Charles Collot and Pierre Germain, Estimates for the Gross-Pitaevskii equation linearized around a vortex. Preprint
12. With Charles Collot and Pierre Germain, Abscence of embedded spectrum for NLS linearized around one dimensional ground states. Preprint

Surveys

1. A uniqueness result for travelling waves in the Gross-Pitaevskii equation. Séminaire Laurent Schwartz — EDP et applications (2021-2022), Exposé no. 17, 16 p.
2. Some asymptotic profiles for the viscous Burgers equation with infinite mass. Séminaire Laurent Schwartz — EDP et applications (2023-2024), Exposé no. 16, 8 p.

Career

2013-2017: ENS Ulm

2017-2020: Thesis under the supervision of Pierre Raphael et David Chiron titled “Sur l'existence et la non dégénérescence d'ondes progressives dans l'équation

de Gross-Pitaevskii en dimension deux” at Université Côte d’Azur

2020-2023: PostDoc at NYU Abu Dhabi with Nader Masmoudi and Tej-Eddine Ghoul

2023- : Chargé de recherche CNRS at CY Cergy University

Organisation of scientific events

2018: Co-organizer of the PhD seminar of mathematics at Université Côte d’Azur

2018-2020: Jury for the french mathematics Olympiad

2023- : Co-organizer of the PDE seminar of Cergy-Pontoise