Seminar| Feishu&Institute of Mathematical Sciences
Time: Wednesday, December 3th, 2025,15:00-16:00
Location: RS408, IMS
Speaker: Diego Córdoba (ICMAT)
Abstract: The Euler and Navier–Stokes equations, which describe the motion of inviscid and viscous fluids respectively, have for centuries posed one of the most intriguing open problems in mathematics: can singularities develop in finite time from smooth initial data? This question, highlighted by the Clay Mathematics Institute as one of the seven Millennium Prize Problems, lies at the heart of our understanding of fluid motion and turbulence.
In this talk, I will begin with an overview of these fundamental equations and the role of singularities in fluid dynamics. I will then discuss recent progress and key contributions that shed new light on this long-standing mathematical challenge, focusing on the mechanisms of singularity formation through vortices and droplets.
Here is a short Bio: Diego Córdoba is a Research Professor at the Institute of Mathematical Sciences (ICMAT) of the national research council of Spain (CSIC), where he has served as Scientific Director of the Severo Ochoa Excellence Program since 2015. He earned his PhD in 1998 from Princeton University and subsequently held positions at the Institute for Advanced Study, the University of Chicago as an L.E. Dickson Instructor, and Princeton University as Assistant Professor. His main expertise is in the mathematical analysis of fluid dynamics. Córdoba has authored over 90 publications in top international journals. His contributions have been recognized with numerous distinctions, including an ERC Starting Grant (2007), an ERC Advanced Grant (2018), the SEMA Young Researcher Prize, the Miguel Catalán Young Award, the Margarita Salas Medal for doctoral supervision, the 2023 Julio Rey Pastor Spanish National Research Prize in Mathematics, and election in 2024 as a Corresponding Member of the Royal Academy of Sciences of Spain. He was also an invited speaker in the PDE session of the 2018 International Congress of Mathematicians.