My given name is Kwan (관, 寬).
My research is focused on mathematical fluid dynamics and elliptic regularity theory.
I am a postdoctoral researcher in the Seoul National University with my mentor Prof. In-Jee Jeong.
During September 2023 - August 2024, I was a member of UNIST PDE Group supported by BRL(Basic Research Lab, PI: Prof. Kyudong Choi) fund.
Address: Seoul National University, 1 Gwanak-ro, Gwanak-gu, Seoul 08826, Republic of Korea
Email: kwanwoo [at] snu.ac.kr
Employment and Education
September 2024 - Present, Postdoctoral Researcher, Seoul National University (Mentor: Prof. In-Jee Jeong)
September 2023 - August 2024, Postdoctoral Researcher, UNIST (Mentor: Prof. Kyudong Choi)
PhD in Mathematics, Korea University, Aug. 2023 (Advisor: Prof. Doyoon Kim)
BS in Mathematics, Korea University, Feb. 2017 (Military leave of absence: 2011-2013)
Papers
(with K. Choi and Y.-J. Sim) Existence and stability of Sadovskii vortices: from vortex patches to regular vorticity, arXiv
(with P. Jung) Fabes-Stroock approach to higher integrability of Green's functions and ABP estimates with Ld drift, arXiv
(with J.-H. Choi, J. B. Lee, J. Seo) Characterizations of weighted Besov and Triebel-Lizorkin spaces with variable smoothness, arXiv
(with J.-H. Choi, J. B. Lee, J. Seo) On the trace theorem to Volterra-type equations with local or non-local derivatives, arXiv
(with D. Kim) Sobolev spaces and trace theorems for time-fractional evolution equations, Potential Anal. (2025), journal, arXiv
(with J. Bae, S.-H. Moon) Emergence of peaked singularities in the Euler-Poisson system, J. Nonlinear Sci., 35, 25 (2025), journal, arXiv
(with D. Kim and K.-H. Kim) Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces, Stoch. PDE: Anal. Comput., 12, 1 (2024), journal, arXiv
(with D. Kim and S. Ryu) Parabolic equations with unbounded lower-order coefficients in Sobolev spaces with mixed norms, J. Evol. Equ., 22 (1), 9 (2022), journal, arXiv
Invited Talks
PDE Seminar, KAIST, August 18, 2025
Analysis, PDE & Probability Seminar, KIAS, July 11, 2025
Recent Advances in Nonlinear PDEs KSIAM, Konkuk University, May 17, 2025
NCTS Webinar on Nonlinear Evolutionary Dynamics (online), May 7, 2025
Seminar Analysis and Mathematical Physics, University of Basel, January 22, 2025
Department Seminar, University of Seoul, January 16, 2025
Department Colloquium, Gangneung-Wonju National University, December 12, 2024
SNU Rookies Workshop, Konjiam resort, November 7-9, 2024
The 11th East Asian Conference in Harmonic Analysis and Applications, Kyoto, August 18, 2024
Classical Analysis, PDEs, Probability & Applications (CAPPA) seminar (online), May 24, 2024
Two day Workshop for Emerging Mathematicians: PDE, Harmonic Analysis, and Applied Math, Jeonju, May 9-10, 2024
2024 KMS annual meeting: Special Session - Recent Trend in Fluid Equations, KAIST, April 20, 2024
Classical Analysis, PDEs, Probability & Applications (CAPPA) seminar (online), April 10, 2024
2024 Winter Workshop on Elliptic and Parabolic Problems and Related Topics, Jeongseon High 1, January 11, 2024
2023 Workshop on Harmonic Analysis, PDE, and Probability, KAIST, December 18, 2023
PDE in Seoul 2023: Conference in honor of Professor Mikhail Safonov’s 70th birthday (Short Talk), Yonsei Univ., June 21, 2023
2023 KMS annual meeting: Special Session - Elliptic and Parabolic PDE with Applications, DCC Daejeon, April 28, 2023
"Harmonic Analysis, Stochastic and PDEs" in Honor of the 80th Birthday of Nicolai Krylov: Poster Session, ICMS, Edinburgh, UK, June 24, 2022