Research

Research Interests

My research interests are in the field of dispersive partial differential equations with applications to mathematical relativity, but also include microlocal analysis and fluid mechanics. My work has been mainly focused on studying the longtime/global existence and the asymptiotic behavior of small solutions for quasilinear systems of wave equations and wave-Klein-Gordon equations.

Publications and Preprints

• The global stability of the Kaluza-Klein spacetime (with Cécile Huneau and Zoe Wyatt), Preprint (2023).
• Global well-posedness for a system of quasilinear wave equations on a product space (with Cécile Huneau), To appear in Analysis and PDE (2021).
• Almost global well-posedness for quasilinear strongly coupled wave-Klein-Gordon systems in two space dimensions (with Mihaela Ifrim), Preprint (2019)
• Global existence of small amplitude solutions for a model quadratic quasi-linear coupled wave-Klein-Gordon system in two space dimension, with mildly decaying Cauchy data, Memoirs of AMS, volume 290, number 1441 (2023)
• Global existence and asymptotics for quasi-linear one-dimensional Klein-Gordon equations with mildly decaying Cauchy data, Bulletin de la SMF (2018)

Seminars and Conferences

• To come: Princeton Gravity Initiative's seminar, Princeton University (November 27, 2023)
• To come: PDE colloquium, Munster University (November 7, 2023)
• Workshop Cretan Waves, University of Crete (October 9-13, 2023)
• Mathematical Problems in Fluid Dynamics, part 2, SLMath (formerly MSRI), UC Berkeley (July 17 - August 11, 2023)
• Workshop: Waves by the Thames, King's College London (June 6-7, 2023)
• Workshop: Equilibria in dispersive and fluid PDEs, La Rochelle Université (March 6-8, 2023)
• Workshop: Women in Nonlinear Dispersive PDEs, Banff (February 6-10, 2023)
• Workshop: 13`eme Congr`es Itinerant, Université de Nantes (January 18-20, 2023)
• General Relativity seminar, LJLL, Sorbonne Université (October 19, 2022)
• Workshop Nonlinear Waves and Dispersive Equations, Oberwolfach (26 Jun - 2 Jul, 2022)
• Workshop PDEs and Relativistic Quantum Mechanics, Nice (May 11-13, 2022)
• Seminar Laurent Schwartz, IHES (Feb 8, 2022)
• Conférence à la mémoire de Geneviève Raugel, Orsay (Nov 8-10, 2021)
• PDE and Analysis Seminar, MIT (Sept 28, 2021)
• Journées Jeunes EDPistes Français, Besancon (March 24-26, 2021)
• PDE Seminar, Vanderbilt (Feb 5, 2021)
• Séminaire d’Analyse Numérique et EDP, Université Côte D’Azur (Feb 4 2021)
• Analysis and Applied Mathematics Seminar, University of Illinois Chicago (Feb 1, 2021)
• Harmonic Analysis and PDE seminar, University of Virginia (Sept 2020)
• Analysis & PDE Seminar, UNC at Chapel Hill (Jan 22, 2020)
• AMS Special Session on Nonlinear Dispersive Equations and Water Waves, University of Wisconsin Madison (Sept 14, 2019)
• Analysis & PDE Seminar, UC Berkeley (Apr 15, 2019)
• 10th Itinerant Workshop in PDEs, Rome (Jan 30 - Feb 1, 2019)

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