With Beomjong Kwak, A universal bound on the blow-up rate for the focusing mass-critical nonlinear Schrödinger equation, arXiv:2602.21968.
With Uihyeon Jeong, Kihyun Kim, and Taegyu Kim, Classification of single-bubble blow-up solutions for Calogero–Moser derivative nonlinear Schrödinger equation, arXiv:2601.07410.
With Taegyu Kim and Jeongheon Park, Blow-up construction and instability for mass-critical half-wave equations with slightly supercritical mass, arXiv:2508.07787.
With Taegyu Kim, Soliton resolution for Calogero–Moser derivative nonlinear Schrödinger equation, to appear in Journal of the European Mathematical Society, arXiv:2408.12843.
With Kihyun Kim and Taegyu Kim, Construction of smooth chiral finite-time blow-up solutions to Calogero–Moser derivative nonlinear Schrödinger equation, to appear in Memoirs of the American Mathematical Society, arXiv:2404.09603.
Publications
With Kihyun Kim and Sung-Jin Oh, Blow-up dynamics for radial self-dual Chern–Simons–Schrödinger equation with prescribed asymptotic profile, Communications in Mathematical Physics 407:70 (2026), 89 pp.
With Beomjong Kwak, Critical local well-posedness of the nonlinear Schrödinger equation on torus Tᵈ, Annales de l’Institut Henri Poincaré (C) Analyse Non Linéaire 43 (2026), 155–201.
With Kihyun Kim and Sung-Jin Oh, Soliton resolution for equivariant self-dual Chern–Simons–Schrödinger equation in weighted Sobolev class, American Journal of Mathematics 147 (2025), 1475–1508.
With Kihyun Kim and Sung-Jin Oh, Blow-up dynamics for smooth finite energy radial data solutions to the self-dual Chern–Simons–Schrödinger equation, Annales scientifiques de l’École Normale Supérieure 57 (2024), 1599–1691.
With Kiyeon Lee and Changhun Yang, Modified scattering of 2D semi-relativistic Hartree equations, Journal of Evolution Equations 24:64 (2024), 35 pp.
With Yonggeun Cho, Kiyeon Lee, and Changhun Yang, The modified scattering for Dirac equations of scattering-critical nonlinearity, Advances in Differential Equations 29 (2023), 179–222.
With Kihyun Kim, Construction of blow-up manifolds to the equivariant self-dual Chern–Simons–Schrödinger equation, Annals of PDE 9 (2023), Paper No. 6, 129 pp.
With Kihyun Kim, On pseudoconformal blow-up solutions to the self-dual Chern–Simons–Schrödinger equation: existence, uniqueness, and instability, Memoirs of the American Mathematical Society 284 (2023), no. 1409, v+128pp.
With Tadahiro Oh and Haewon Yoon, Normal form approach to unconditional well-posedness of nonlinear dispersive PDEs on the real line, Annales de la Faculté des Sciences de Toulouse: Mathématiques 29 (2020), 649–720.
With Kihyun Kim, Scattering of defocusing generalized Benjamin–Ono equations in the energy space H¹ᐟ²(ℝ), Transactions of the American Mathematical Society 372 (2019), 5011–5067.
With Younghun Hong and Haewon Yoon, Global existence versus finite time blow-up dichotomy for the system of nonlinear Schrödinger equations, Journal de Mathématiques Pures et Appliquées 125 (2019), 283–320.
With Yifei Wu, Orbital stability of solitary waves for derivative nonlinear Schrödinger equation, Journal d’Analyse Mathématique 135 (2018), 473–486.
With Jaywan Chung, Zihua Guo, and Tadahiro Oh, Normal form approaches to global well-posedness of the quadratic derivative Schrödinger equations on the circle, Annales de l’Institut Henri Poincaré (C) Analyse Non Linéaire 34 (2017), 1273–1297.
With Sunho Choi, Modified scattering for the Vlasov–Poisson system, Nonlinearity 29 (2016), 2755–2774.
With Myeongju Chae, The stability of nonlinear Schrödinger equations with a potential in high Sobolev norms revisited, Communications on Pure and Applied Analysis 15 (2016), 341–365.
With Tristan Roy, Scattering of rough solutions of the nonlinear Klein–Gordon equations in 3D, Advances in Differential Equations 21 (2016), 333–372.
With Shuanglin Shao, Nonexistence of soliton-like solutions for defocusing generalized KdV equations, Electronic Journal of Differential Equations (2015), no. 51.
With Yonggeun Cho, Gyeongha Hwang, and Sanghyuk Lee, On the finite time blow-up for mass-critical Hartree equations, Proceedings of the Royal Society of Edinburgh A 145 (2015), 467–479.
With Yonggeun Cho, Gyeongha Hwang, and Sanghyuk Lee, Well-posedness and ill-posedness for the cubic fractional Schrödinger equations, Discrete and Continuous Dynamical Systems A 35 (2015), 2863–2880.
With Yonggeun Cho, Gyeongha Hwang, and Sanghyuk Lee, Profile decompositions of fractional Schrödinger equations with angularly regular data, Journal of Differential Equations 256 (2014), 3011–3037.
With Zihua Guo and Chulkwang Kwak, Rough solutions of the fifth-order KdV equations, Journal of Functional Analysis 265 (2013), 2791–2829.
With Yonggeun Cho, Gyeongha Hwang, and Sanghyuk Lee, Profile decompositions and blow-up phenomena of mass-critical fractional Schrödinger equations, Nonlinear Analysis 86 (2013), 12–29.
With Zihua Guo and Tadahiro Oh, Poincaré–Dulac normal form reduction for unconditional well-posedness of the periodic cubic NLS, Communications in Mathematical Physics 322 (2013), 19–48.
With James Colliander and Tadahiro Oh, A remark on normal forms and the upside-down I-method for periodic NLS: Growth of higher Sobolev norms, Journal d’Analyse Mathématique 118 (2012), 55–82.
With Tadahiro Oh, On unconditional well-posedness of modified KdV equation, International Mathematics Research Notices (2012).
With Tristan Roy, Bilinear local smoothing estimate for Airy equation, Differential and Integral Equations 25 (2012), 75–83.
With Rowan Killip, Shuanglin Shao, and Monica Visan, On the mass-critical generalized KdV equation, Discrete and Continuous Dynamical Systems A 32 (2012), 191–221.
With Myeongju Chae, Global well-posedness for the L²-critical Hartree equation on ℝⁿ, Communications on Pure and Applied Analysis 8 (2009), 1725–1743.
Well-posedness and ill-posedness of the fifth order modified KdV equation, Electronic Journal of Differential Equations (2008), No. 01.
On the fifth order KdV equation: Local well-posedness and lack of uniform continuity of the solution map, Journal of Differential Equations 245 (2008), 2627–2659.