Webpage of Louise GASSOT


Contact

ICERM - 11th floor
121 S Main Street
02903 Providence RI
USA

E-mail: FirstName.LastName@normalesup.org

About

I am a postdoc at the University of Basel with Enno Lenzmann since March 2022.

Between 2018 and 2021, I was a PhD student in partial differential equations under the supervision of Patrick Gérard at the Laboratoire de Mathématiques d'Orsay (LMO). Between September 2021 and March 2022, I was an Institute postdoc at ICERM (Brown University).

I am interested in the long time behavior of solutions to dispersive nonlinear PDEs. I mainly focus on PDEs with wery weak dispersion (for instance, the Schrödinger equation on the Heisenberg group) and on integrable PDEs (for instance, the Benjamin-Ono equation on the torus).

Here is my CV, and my PhD manuscript entitled "Long-time behavior of solutions to nonlinear PDEs: orbital stability of traveling waves, dispersion, integrability, damping".

Research

Schrödinger equation on the Heisenberg group

On the orbital stability of a family of traveling waves for the cubic Schrödinger equation on the Heisenberg group, Bulletin de la SMF, 149-1 (2021), 15--54 (arXiv, journal)

On the radially symmetric traveling waves for the Schrödinger equation on the Heisenberg group, Pure and Applied Analysis 2-4 (2020), 739--794 (arXiv, journal)

Cauchy problem in low regularity for Schrödinger-type equations

Pathological set of initial data for scaling-supercritical nonlinear Schrödinger equations, with Nicolas camps, 2022 (arXiv)

Probabilistic local well-posedness for the Schrödinger equation posed for the Grushin operator, with Mickaël Latocca, 2021 (arXiv)

Benjamin-Ono equation on the torus

Zero-dispersion limit for the Benjamin-Ono equation on the torus with single well initial data, 2021 (arXiv)

Long time behavior of solutions for a damped Benjamin-Ono equation, Mathematische Zeitschrift (2021) (arXiv, journal)

The third order Benjamin-Ono equation on the torus: well-posedness, traveling waves and stability, Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 38-3 (2021), 815--840 (arXiv, journal)

Teaching

From 2018 to 2021, I was a teaching assistant at the mathematics department of the ENS Paris (DMA).

2018 to 2021: exercices sessions to the Master 1 course « Functional analysis ».

I was giving oral exercises sessions at CPGE, an intensive undergraduate maths and physics course which prepares in particular for the ENS entrance exam, from 2015 to 2018.

I am co-author, with Thomas Blomme, Quentin Guignard and Bernard Randé, of a book of solutions to exercises given to the ENS and École Polytechnique entrance exam (at Calvage et Mounet).

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