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My name is Kwan (관, 寬).
My research focuses on mathematical fluid dynamics and elliptic equation.
Employment and Education
09.2025 - present, Postdoctoral Researcher, University of Basel, (PI: Gianluca Crippa)
09.2024 - 08.2025, Postdoctoral Researcher, Seoul National University (PI: In-Jee Jeong)
09.2023 - 08.2024, Postdoctoral Researcher, UNIST (PI: Kyudong Choi)
PhD in Mathematics, Korea University, Aug. 2023 (Advisor: Doyoon Kim)
BS in Mathematics, Korea University, Feb. 2017 (Military leave of absence: 2011-2013)
Address: Spiegelgasse 1 , 4051 Basel, Switzerland
Email: kwan.woo [at] unibas.ch
Paper
Failure of zero extension in parabolic Sobolev spaces (with J. Choi and D. Kim), arXiv
Existence and stability of Sadovskii vortices: from vortex patches to smooth vortices (with K. Abe, K. Choi, I.-J. Jeong, and Y.-J. Sim), arXiv
On the trace theorem to Volterra-type equations with local or non-local derivatives (with J.-H. Choi, J. B. Lee, and J. Seo), J. Evol. Equ., 26, 42 (2026), journal, arXiv
Characterizations of weighted Besov and Triebel-Lizorkin spaces with variable smoothness (with J.-H. Choi, J. B. Lee, and J. Seo), Commun. Pure Appl. Anal., 28 (2026), journal, arXiv
Fabes-Stroock approach to higher integrability of Green's functions and ABP estimates with Ld drift (with P. Jung), J. Math. Pures Appl., 204 (2025), journal, arXiv
Sobolev spaces and trace theorems for time-fractional evolution equations (with D. Kim), Potential Anal. (2025), journal, arXiv
Emergence of peaked singularities in the Euler-Poisson system (with J. Bae and S.-H. Moon), J. Nonlinear Sci., 35, 25 (2025), journal, arXiv
Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces (with D. Kim and K.-H. Kim), Stoch. PDE: Anal. Comput., 12, 1 (2024), journal, arXiv
Parabolic equations with unbounded lower-order coefficients in Sobolev spaces with mixed norms (with D. Kim and S. Ryu), J. Evol. Equ., 22 (1), 9 (2022), journal, arXiv
Teaching
Complex and Vector analysis (Funktionentheorie und Vektoranalysis), Fall 2026, University of Basel
Introduction to Dynamical Systems, Spring 2026, University of Basel
Complex and Vector analysis (Funktionentheorie und Vektoranalysis), Fall 2025, University of Basel
Presentation
HCMC seminar, KIAS, August 21, 2026
Variational family of axisymmetric vortex rings
BK/BRL PDE seminar, Yonsei University, August 20, 2026
Variational family of axisymmetric vortex rings
Colloquium, Korea University, August 19, 2026
Variational family of axisymmetric vortex rings
AMSS Fluid Dynamics Research Seminar, Chinese Academy of Science, Beijing, Mar 26, 2026
Sadovskii vortex in 2D Euler: existence and stability
Department Seminar, Pusan National University, Feb 9, 2026
Sadovskii vortex in 2D Euler: existence and stability
Turbulence and Mixing in Fluid Dynamics, SwissMAP Research Station in Les Diablerets, Jan 15, 2026
Sadovskii vortex in 2D Euler: existence and stability
PDE Seminar, KAIST, August 18, 2025
Sadovskii vortex in 2D Euler: existence and stability
Analysis, PDE & Probability Seminar, KIAS, July 11, 2025
Sadovskii vortex in 2D Euler: existence and stability
Recent Advances in Nonlinear PDEs KSIAM, Konkuk University, May 17, 2025
Sadovskii vortex in 2D Euler: existence and stability
NCTS Webinar on Nonlinear Evolutionary Dynamics, May 7, 2025
Sadovskii vortex in 2D Euler: existence and stability
Seminar Analysis and Mathematical Physics, University of Basel, January 22, 2025
Elliptic and parabolic equations with critical drift
Department Seminar, University of Seoul, January 16, 2025
Peaked solitons in Euler-Poisson system
Department Colloquium, Gangneung-Wonju National University, December 12, 2024
Peaked solitons in Euler-Poisson system
SNU Rookies Workshop, Konjiam resort, November 7-9, 2024
Peaked solitons in Euler-Poisson system
The 11th East Asian Conference in Harmonic Analysis and Applications, Kyoto, August 18, 2024
Aleksandrov-Bakelman-Pucci estimate for elliptic equations with critical drift
Classical Analysis, PDEs, Probability & Applications (CAPPA) Webinar, May 24, 2024
Parabolic equations with critical drift
Two-Day Workshop for Emerging Mathematicians: PDE, Harmonic Analysis, and Applied Math, Jeonju, May 9-10, 2024
Sobolev space theory for nonlocal parabolic equations
2024 KMS annual meeting: Special Session - Recent Trend in Fluid Equations, KAIST, April 20, 2024
Aleksandrov-Bakelman-Pucci estimate for elliptic equations with critical drift
Classical Analysis, PDEs, Probability & Applications (CAPPA) Webinar, April 10, 2024
Aleksandrov-Bakelman-Pucci estimate for elliptic equations with critical drift
2024 Winter Workshop on Elliptic and Parabolic Problems and Related Topics, Jeongseon High 1, January 11, 2024
Aleksandrov-Bakelman-Pucci estimate for elliptic equations with critical drift
2023 Workshop on Harmonic Analysis, PDE, and Probability, KAIST, December 18, 2023
Aleksandrov-Bakelman-Pucci estimate for elliptic equations with critical drift
PDE in Seoul 2023: Conference in Honor of Professor Mikhail Safonov’s 70th birthday (Short Talk), Yonsei Univ., June 21, 2023
Parabolic equations with singular drift: Sobolev space theory
2023 KMS annual meeting: Special Session - Elliptic and Parabolic PDE with Applications, DCC Daejeon, April 28, 2023
Sobolev space theory for nonlocal parabolic equations
"Harmonic Analysis, Stochastic and PDEs" in Honor of the 80th Birthday of Nicolai Krylov: Poster Session, ICMS, Edinburgh, UK, June 24, 2022
Parabolic equations with singular drift: Sobolev space theory
Some travels
Florence, Xieman, Amsterdam,
GSSI (L'Aquila, Sep'26), ICMS (Sofia, Jun'26), AMSS (Beijing, Mar'26), SwissMAP (Les Diablerets, Jan'26)
ICMAT & CUNEF (Madrid, Dec'25), Simons center (Stony Brook, Jul'25), Basel Univ. (Basel, Jan'25), RIMS (Kyoto, Aug'24)
ICERM & Brown Univ. (Rhode Island, Oct'22), ICMS (Edinburgh, Jun '22), AMS meeting (San Diego, Jan'18)
Referee
J. Diff. Equ.
Indiana Univ. Math. J.
Math. Ann.
J. Korean Math. Soc.
J. Geom. Anal.
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