Since September 1st 2024, I work as a postdoc in mathematics (PDE - fluid mechanics) with Thierry Gallay at the Institut Fourier, Université Grenoble Alpes, supported by the ANR BOURGEONS.
I work at the Institut Fourier since 2022, where I was first hired as ATER (research and teaching 1-year position) then as a postdoc supported by the Simons Collaboration On Wave Turbulence.
I did my PhD Thesis at Institut Camille Jordan, Université Claude Bernard Lyon 1, under the supervision of Dragoș Iftimie, and defended on September 15th 2022.

I study mathematically vortex structures in incompressible fluids.
A few PDEs : Euler equations, Navier-Stokes equations, SQG equations.
A few topics :

• Point-vortex dynamics : collisions, stability and instability,
• Localization and confinement of vorticity,
• Effect of the boundary in bounded planar domains,
• Vortex filaments,
• Weakly viscous interacting vortices.

Contact : martin.donati at univ-grenoble-alpes.fr .
My different internet profiles : Google Scholar, ResearchGate, Orcid, Web of Science.

Numerical simulation of the fast relaxation of a viscous vortex in an exterior velocity field: