Kyudong Choi(최규동)
I am an Associate Professor in Department of Mathematical Sciences of School of Natural Science at UNIST(Ulsan National Institute of Science and Technology). I am interested in analysis of PDEs: fluid equations such as Euler/Navier-Stokes equations and conservation laws aring from mathematical biology. I am a member of UNIST PDE Group supported by BRL(Basic Research Lab) fund since June 2022.
address: 50, UNIST-gil, Ulsan 44919, Republic of Korea
office: 108dong, 301-4
email: kchoi "at" unist.ac.kr
(upcoming) Organizing events
Mar. 13-15 (2024) Analysis of PDEs in Fluid (Quasi-linear PDEs in fluids III), Osaka, Japan, link
(also see the webpages for the previous events : 1st in 2021, 2nd in 2022)July 24-27 (2023) Recent Progress on Mathematical Fluid Dynamics, Jeju, link
Apr. 20~21 (2023) 2023 Spring SNU Fluid PDE Workshop, Seoul, link
Apr. 17~18 (2023) Spring UNIST PDE Group Workshop with A. Kiselev, link
Jan. 30~Feb. 2 (2023) 2023 Winter International Workshop on Mathematical Analysis of Fluids, Busan, link
(upcoming) Invited talks
Dec. 16-20 (2024) Singularities in Fluids and General Relativity, NUS, Singapore, link
Aug. 5-9 (2024) Patterns in solutions to the incompressible Euler equations, Bedlewo, Poland, link
Apr. 19-20 (2024) Analysis section, KMS Spring meeting, link
Mar. 27 (2024) Nonlinear wave workshop, UNIST, link
Feb. 21 (2024) Analysis seminar, Univ. of Texas at Austin, U.S., link
Feb. 20 (2024) Applied math and Analysis seminar, Duke Univ., U.S., link
Jan. 15-19 (2024) Fluids in Seoul 2024, Seoul, Korea, link
Dec. 11-15 (2023) Recent advances in fluid dynamics: singularity, regularity and mixing, Kunshan, China
Sep. 22 (2023) Yeungnam Workshop on Partial Differential Equations, Kyungsan, Korea
July 5-7 (2023) RIMS Workshop Mathematical Analysis in Fluid and Gas Dynamics, Kyoto, Japan, link
Mar. 29-30 (2023) Kyoto-CAU Joint Meeting on Nonlinear PDEs, Kanazawa, Japan, link
Feb. 26~Mar. 1 (2023) Nonlinear PDE Conference on the occasion of Professor Dongho Chae's 65th birthday, Jeju, link
Employment
• Assistant Professor, Associate Professor, tenured Associate Professor, Department of Mathematical Sciences, UNIST (2015.06 ~ current)
• 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)
(former and current) Students
• Taehoon Ha(MS, 2023.08) now at industry
• Deokwoo Lim(Ph.D, 2023.08) now at Seoul National Univesity as a post-doc
• Youngjin Sim(MS-Ph.D program since 2021.09)
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)
• 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
All the papers below are available either on arxiv.org or upon a request by email <kchoi "at" unist.ac.kr>.
Preprints
(with I. Jeong and Y. Sim) On existence of Sadovskii vortex patch: A touching pair of symmetric counter-rotating uniform vortex, arxiv
(with I. Jeong and D. Lim) On global regularity of some bi-rotational Euler flows in R^4, arxiv
(with I. Jeong) On the winding number for particle trajectories in a disk-like vortex patch of the Euler equations, arxiv
Publications
(with I. Jeong) On vortex stretching for anti-parallel axisymmetric flows, Amer. J. Math., to appear, arxiv
(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
(with I. Jeong and D. Lim) Global regularity for some axisymmetric Euler flows in R^d, Proc. Amer. Math. Soc, to appear, arxiv
(with I. Jeong) Filamentation near Hill's vortex, Comm. PDE, 48, 1 (2023) journal, arxiv
(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
(with I. Jeong) Stability and instability of Kelvin waves, Calc. Var. 61, 221 (2022) journal, arxiv
(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
(with D. Lim) Stability of radially symmetric, monotone vorticities of 2D Euler equations, Calc. Var. 61, 120 (2022) journal, arxiv
Stability of Hill's spherical vortex, Comm. Pure Appl. Math., 77:52-138 (2024), journal, arxiv
(with I. Jeong) Growth of perimeter for vortex patches in a bulk, Applied Math. Letters, (113) 2021, 106857 journal, arxiv
(with K. Abe) Stability of Lamb dipoles, Arch. Rational Mech. Anal., 244, 877–917 (2022) journal, arxiv
(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
(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
(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
On the estimate of distance traveled by a particle in a disk-like vortex patch, Applied Math. Letters, 97 (2019), 67–72 journal, arxiv
(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
(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
(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
(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
(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
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
(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
Published articles in non refereed Journal
On stability of Hill’s vortex and its applications, Proceeding of Mathematical Analysis in Fluid and Gas Dynamics in RIMS Kokyuroku, preprint