Welcome to my webpage. I am currently an Assistant Professor in the Department of Mathematics at POSTECH, South Korea.
My research focuses on the mathematical analysis of partial differential equations (PDEs) that arise from various physical phenomena, with a particular emphasis on kinetic PDEs. My research interests include deriving kinetic PDEs through diverse scaling limits, examining local and global existence, uniqueness, regularity, and exploring the large-time asymptotic behavior of solutions, as well as the stability or instability of steady states.
I am especially interested in physically motivated kinetic PDEs, such as the Boltzmann and Landau equations under Newtonian mechanics or special relativity, the Vlasov-Maxwell equations for collisionless plasmas, and kinetic equations for radiative transfer. Additionally, my research extends to the hydrodynamic limits of these equations, which lead to several macroscopic fluid equations through different scaling limits. I also focus on proving rigorous scaling limits between different kinetic equations. The study of kinetic equations is connected to classical and quantum mechanics, involving many interacting particles whose dynamics can be analyzed statistically.
For a comprehensive overview of my research and publications, please feel free to visit my ORCiD, MathSciNet, Google Scholar, and ResearchGate profiles.
I am currently co-organizing the PDE and Applied Analysis Seminar at POSTECH's Department of Mathematics. For more information and updates, please visit:
Assistant Professor, POSTECH (Pohang University of Science and Technology), Department of Mathematics
PhD, University of Pennsylvania, Department of Mathematics, 2016
BA, Columbia University, Department of Mathematics, 2011
Contact Information
77 Cheongam-Ro, Nam-Gu
Pohang, Gyeongbuk, South Korea
Office: Mathematical Science Building, Room 321
Postal code: 37673
Office Phone: +82 54 279 2042
E-mail address: jangjw@postech.ac.kr