Webpage of Louise GASSOT


Campus de Beaulieu, bâtiments 22 et 23
263 avenue du Général Leclerc, CS 74205
35042 RENNES Cédex

E-mail : FirstName.LastName@cnrs.fr


I am a CNRS researcher at IRMAR (Rennes, France).

- 2018-2021: PhD under the supervision of Patrick Gérard at the Laboratoire de Mathématiques d'Orsay (LMO).

- 2021-2022: Institute postdoc at ICERM (Brown University)

- 2022-2023: postdoc at the University of Basel with Enno Lenzmann

I am interested in the long time behavior of solutions to dispersive nonlinear PDEs. I mainly focus on PDEs with 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 a lay summary of the zero-disperion limit problem for the Benjamin-Ono equation on the torus.

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


Benjamin-Ono equation

On Strong Zero-Dispersion Asymptotics for Benjamin-Ono Soliton Ensembles, with Elliot Blackstone and Peter D. Miller, 2023 (arXiv)

Lax eigenvalues in the zero-dispersion limit for the Benjamin-Ono equation on the torus, SIAM Journal on Mathematical Analysis, 55(5):5782-5822, 2023 (arXiv, journal)

Zero-dispersion limit for the Benjamin-Ono equation on the torus with single well initial data, Communications in Mathematical Physics, 401:2793–2843, 2023 (arXiv, journal)

Long time behavior of solutions for a damped Benjamin-Ono equation, Mathematische Zeitschrift, 300:1939--2006, 2022 (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):815--840, 2021 (arXiv, journal)

Cauchy problem in low regularity for Schrödinger-type equations

Pathological set with loss of regularity for nonlinear Schrödinger equations, with Rémi Carles, 2023 (arXiv)

Refined probabilistic local well-posedness for a cubic Schrödinger half-wave equation, with Nicolas Camps and Slim Ibrahim, Journal of Differential Equations, 380:443--490, 2024 (arXiv, journal)

Pathological set of initial data for scaling-supercritical nonlinear Schrödinger equations, with Nicolas Camps, IMRN, 2023(15):13214–13254, 2023 (arXiv, journal)

Probabilistic local well-posedness for the Schrödinger equation posed for the Grushin operator, with Mickaël Latocca, Journal of Functional Analysis, 283(3):109519, 2022 (arXiv, journal)

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):15--54, 2021 (arXiv, journal)

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


Cubic Schrödinger half-wave equation and random initial data, with Nicolas Camps and Slim Ibrahim, Journées équations aux dérivées partielles, 2022 (pdf)


- 2022: class « Measure - and Integration theory » at the University of Basel

- 2018-2021: teaching assistant at the mathematics department of the ENS Paris (DMA), exercices sessions to the Master 1 course « Functional analysis ».

- 2015-2018: oral exercises sessions at CPGE, an intensive undergraduate maths and physics course

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).