Global-in-time well-posedness of the two-dimensional compressible Navier-Stokes equations with general density-dependent viscosity coefficients
About me
I am currently a postdoctoral researcher at the Laboratoire de Mathématiques et Modélisation d'Évry (LaMME), working under the supervision of Mickaël Latocca and Thomas Alazard.
Before that, I completed my PhD at Université Paris Cité under the supervision of Cosmin Burtea and David Gérard-Varet. I was supported by the MathInParis2020 doctoral programme of the Fondation Sciences Mathématiques de Paris.
My research focuses on free boundary problems arising in fluid mechanics, especially models describing the flow of immiscible fluid mixtures. The components of the flow are separated by interfaces of zero thickness, whose persistence (or loss) of regularity is a central issue in the mathematical analysis.
Research
Preprints
Global-in-time Discontinuous Solutions for the Two-Phase Model of Compressible Fluids with Density-Dependent Viscosity
Peer-reviewed articles
A well-posedness result for the compressible two-fluid model with density-dependent viscosity
Global-in-time well-posedness of the compressible Navier–Stokes equations with striated density
Discontinuous solutions for the Navier–Stokes equations with density-dependent viscosity
Theses
PhD thesis: Qualitative study of the interface between two compressible immiscible fluids
Master thesis: Singular pressures in the mechanics of compressible dynamics
Master thesis: A result for transport equations and conservation with diffusion
Undergraduate thesis: Cauchy–Lipschitz theorem
Mentoring
I dedicate roughly an hour per week to supporting high school students with their mathematics exercises. Most of the time, a small amount of guidance is enough to help them feel more confident and at ease with the subject. I warmly encourage others to volunteer as well; you can find opportunities here.