Saint-Raymond is well known for her outstanding results on nonlinear partial differential equations in the dynamics of gases and plasmas and also in fluid dynamics. [...] Saint-Raymond is at the origin of several outstanding and difficult results in the field of nonlinear partial differential equations of mathematical physics. She is one of the most brilliant young mathematicians in her generation.
the development of asymptotic theories of partial differential equations, including the fluid limits of rarefied flows, multiscale analysis in plasma physics equations and ocean modeling, and the derivation of the Boltzmann equation from interacting particle systems.
Golse, François; Saint-Raymond, Laure (9 September 2003). "The Navier–Stokes limit of the Boltzmann equation for bounded collision kernels". Inventiones Mathematicae. 155 (1). Springer Science and Business Media LLC: 81–161. doi:10.1007/s00222-003-0316-5. ISSN0020-9910. S2CID55061640.