The Vietnam Institute for Advanced Study in Mathematics (VIASM) successfully organized the mini-course on Mathematical analysis of some partial differential equations arising from fluid mechanics on February 12, 2025. The course was presented by two leading experts in the field: Prof. Kyungkeun Kang (Yonsei University, South Korea) and Prof. Jihoon Lee (Chung-Ang University, South Korea). Around 30 participants attended the course, both in person and via Zoom.

Lecturers and participants in the Mini-course

Indeed, this mini-course aims to provide several recent results on the study of some partial differential equations (PDEs) arising in fluid dynamics, for example, the Navier-Stokes, porous medium, quasi-geostrophic, and Euler-Maxwell systems. More precisely, the two lecturers addressed topics such as the local boundary regularity of the Stokes and Navier-Stokes equations in the half space, the existence of weak solutions for nonlinear diffusion equations with drift terms and their applications, as well as some singular limit problems for the quasi-geostrophic and Euler-Maxwell equations.

Prof. Kyungkeun Kang gave a lecture at the Mini-course

Professor Kyungkeun Kang earned his Ph.D. from the University of Minnesota in 2002. He completed postdoctoral research at the Max Planck Institute for Mathematics in the Sciences, the University of British Columbia, and the Pacific Institute for the Mathematical Sciences. He joined Sungkyunkwan University as an assistant professor in 2005, became an associate professor in 2009, and moved to Yonsei University in 2011, where he has been a full professor since 2014. His research focuses on PDEs, including the Navier-Stokes equations, (Hall)-magnetohydrodynamics, the Keller-Segel model, and non-Newtonian fluid models.

Prof. Jihoon Lee presented at the Mini-course

Professor Jihoon Lee received his Ph.D. from Seoul National University (SNU) in 2002 and conducted postdoctoral research at SNU, PACM at Princeton University, and the Max Planck Institute. He joined Sungkyunkwan University in 2004 as a lecturer, later becoming an assistant and associate professor. In 2013, he moved to Chung-Ang University, where he became a full professor in 2015 and was head of the Department of Mathematics (2016-2018). Since 2023, he has been the director of the CAU Nonlinear PDE Center. His research covers the equations, including the Euler and Navier-Stokes equations, (Hall)-magnetohydrodynamics, the Keller-Segel model, and quasi-geostrophic models.
The mini-course was a valuable opportunity for researchers to learn about recent advances in the mathematical analysis of fluid dynamics equations.

Some pictures: