Francesco Fanelli

Francesco Fanelli is a Research Professor at the Basque Center for Applied Mathematics (BCAM) under Ikerbasque - Basque Foundation for Science. He is on leave from Université Claude Bernard Lyon 1 and Institut Camille Jordan since September 2023. His work spans partial differential equations (PDEs), fluid dynamics, harmonic analysis, and asymptotic behavior of non-homogeneous fluids.

He has made significant contributions to:

• Hydrodynamics of inviscid and compressible fluids
• Multi-scale analysis and singular perturbation problems
• Well-posedness theory for hyperbolic operators with low regularity coefficients
• Fourier analysis methods in PDEs (Littlewood-Paley theory, paradifferential calculus)

His research intersects with geophysical fluid dynamics, magnetohydrodynamics (MHD), and turbulence theory. His 15 most recent publications focus on:

• Ekman boundary layers and pumping effects
• Kolmogorov turbulence models
• Fast rotation asymptotics
• Low Mach number limits with stratification
• Singular integrals and Besov space applications

Scientific recognition includes:

• PEDR teaching and research excellence fellowship (2017-2020, renewed 2021-2025)
• ERC Consolidator Grant finalist (2024)
• Vinci 2010 fellowship

He organizes and participates in international conferences on fluid dynamics and PDEs. Collaborators include leading researchers from institutions in France, Italy, Spain, Poland, and Chile.