All the papers below are available either on arxiv.org or upon a request by email <kchoi "at" unist.ac.kr>.

    Preprints

1. (with Y. Sim and K. Woo) Existence and stability of Sadovskii vortices: from vortex patches to regular vorticity, arxiv 

2. (with I. Jeong and Y. Yao) Stability of vortex quadrupoles with odd-odd symmetry, arxiv 

    Publications

1. (with I. Jeong and Y. Sim) On existence of Sadovskii vortex patch: A touching pair of symmetric counter-rotating uniform vortex, Ann. PDE 11, 18 (2025), journal, arxiv 

2. (with I. Jeong and D. Lim) On global regularity of some bi-rotational Euler flows in R^4,  J. Differential Equations, 425, 627-660 (2025), journal, arxiv 

3. (with I. Jeong) On the winding number for particle trajectories in a disk-like vortex patch of the Euler equations, Bulletin of KMS, 62(4):1049--1058, journal, arxiv

4. (with I. Jeong) On vortex stretching for anti-parallel axisymmetric flows, Amer. J. Math., to appear, arxiv

5. (with I. Jeong and D. Lim) Global regularity for some axisymmetric Euler flows in R^d, Proc. Amer. Math. Soc, to appear, arxiv

6. Stability of Hill's spherical vortex, Comm. Pure Appl. Math., 77:52-138 (2024), journal,  arxiv

7. (with D. Chae and I. Jeong) Axi-symmetric solutions for active vector models generalizing 3D Euler and electron–MHD equations, Nonlinear Anal. Real World Appl., 74 (2023), 103953 journal,  arxiv

8. (with I. Jeong) Filamentation near Hill's vortex, Comm. PDE, 48, 1 (2023) journal, arxiv

9. (with I. Jeong and D. Lim) Stability of monotone, non-negative, and compactly supported vorticities in the half cylinder and infinite perimeter growth for patches, J. Nonlinear Sci., 32, 97 (2022) journal, arxiv

10. (with I. Jeong) Stability and instability of Kelvin waves, Calc. Var. 61, 221 (2022)  journal, arxiv

11. (with I. Jeong) Infinite growth in vorticity gradient of compactly supported planar vorticity near Lamb dipole, Nonlinear Anal. Real World Appl., 65 (2022), 103470 journal, arxiv

12. (with D. Lim) Stability of radially symmetric, monotone vorticities of 2D Euler equations,  Calc. Var. 61, 120 (2022) journal, arxiv

13. (with K. Abe) Stability of Lamb dipoles,  Arch. Rational Mech. Anal., 244, 877–917 (2022) journal, arxiv

14. (with I. Jeong) Growth of perimeter for vortex patches in a bulk, Applied Math. Letters, 113, 106857 (2021) journal, arxiv

15. (with M. Kang and A. Vasseur) Global well-posedness of large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model, J. Math. Pures Appl., 142 (2020), 266-297 journal, arxiv

16. (with M. Kang, Y. Kwon and A. Vasseur) Contraction for large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model, Math. Models Methods Appl., 30 (2020), 387-437 journal, arxiv

17. (with M. Chae) Nonlinear stability of planar traveling waves in a chemotaxis model of tumor angiogenesis with chemical diffusion, J. Differential Equations, 268 (2020), 3449-3496 journal, arxiv

18. On the estimate of distance traveled by a particle in a disk-like vortex patch, Applied Math. Letters, 97 (2019), 67–72 journal, arxiv

19. (with S. Denisov) On the Growth of the Support of Positive Vorticity for 2D Euler Equation in an Infinite Cylinder, Commun. Math. Phys., 367 (2019), 1077-1093 journal, arxiv

20. (with M. Chae, K. Kang, and J. Lee) Stability of Planar Traveling Waves in a Keller-Segel Equation on an Infinite Strip Domain, J. Differential Equations, 265 (2018), 237-279 journal, arxiv

21. (with T. Hou, A. Kiselev, G. Luo, V. Sverak, and Y. Yao) On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations, Comm. Pure Appl. Math., 70 (2017), 2218–2243 journal, arxiv

22. (with A. Kiselev and Y. Yao) Finite time blow up for a 1D model of 2D Boussinesq system, 2013, Commun. Math. Phys., 334 (2015), 1667 - 1679 journal, arxiv

23. (with A. Vasseur) Short-time Stability of Scalar Viscous Shocks in the Inviscid Limit by the Relative Entropy Method, SIAM J. Math. Anal. 47 (2015), 1405 - 1418 journal, arxiv

24. (with A. Vasseur) Estimates on Fractional Higher Derivatives of Weak solutions for the Navier-Stokes Equations, Ann. Inst. Henri Poincare Anal. Non Lineaire, 31 (2014), 899 - 945 journal, arxiv

25. Persistence of Holder Continuity for Non-local Integro-differential Equations, Discrete Contin. Dyn. Syst. - Series A, 33 (2013), 1741 - 1771 journal, early ver. on arxiv, revised one

    Published articles in non refereed Journal

1. On stability of Hill’s vortex and its applications, Proceeding of Mathematical Analysis in Fluid and Gas Dynamics in RIMS Kokyuroku, link,   journal, preprint

Employment

•  Professor, Department of Mathematical Sciences, UNIST (2024.09 ~ current)

•  (tenured) Associate Professor, Department of Mathematical Sciences, UNIST (2022.09 ~ 2024.08)

•  (tenure-track) Associate Professor, Department of Mathematical Sciences, UNIST (2020.03 ~ 2022.08)

•  (tenure-track) Assistant Professor, Department of Mathematical Sciences, UNIST (2015.06 ~ 2020.02)

•  Van Vleck Visiting Assistant Professor, Department of Mathematics, Univ. of Wisconsin-Madison (2012.09~2015.05)
Mentor: A. Kiselev and S. Denisov

Education

•  Ph.D., Univ. of Texas at Austin (2012.08) Advisor: A. Vasseur

•  B.S., Korea Univ. (2006.08)

Current Students

•  Young-Jin Sim(MS-Ph.D program since 2021.09)

•  Seong-Nyeong Han(MS-Ph.D program since 2025.03)

Former Students

•  Taehoon Ha(MS, 2023.08) now at industry

•  Deokwoo Lim(Ph.D, 2023.08) now at Seoul National University as a post-doc

Postdocs mentoring

•  Kwan Woo (2023.09~2024.08) now at Seoul National University as a post-doc

   Awards/Funds

• Research paper award, Korean Mathematical Society, 2024 Spring

• National Research Foundation of Korea, Mid-career, 2023-2028 (RS-2023-00274499)

• Outstanding Faculty Awards 2022, in research, UNIST 2023.04.11

• BRL(Basic Research Lab) fund (PI) 2022~2025  (NRF-2022R1A4A1032094->RS-2022-NR070754)

• The nation’s top 50 awards for excellence from ‘2020 Academic and Research Support Program' of the Ministry of Education of Republic of Korea (2021.12.16)

• KIAS Associate Member 2019–2024

• National Research Foundation of Korea (NRF-2018R1D1A1B07043065) 2018–2023

• POSCO Science Fellowship of TJ Park Foundation 2017–2018

• National Research Foundation of Korea (NRF-2015R1D1A1A01058614) 2015–2018

• ICM 2014 Travel Grants from AMS-NSF

• AMS-Simons Travel Grants 2013–2015

• Frank Gerth III Dissertation Award 2012, Depart. of Math., University of Texas at Austin

• Frank Gerth III Graduate Excellence Award 2008, Depart. of Math., University of Texas at Austin