I am Taegyu Kim, and a PhD. student in Department of Mathematical Sciences, KAIST, South Korea.
My advisor is Prof. Soonsik Kwon.
Email: k1216300(at)kaist[dot]ac[dot]kr
Other information: Google scholar, MathSciNet, arXiv
I'm interested in dispersive PDEs, such as the nonlinear Schrodinger equations.
In particular, I'm interested in the long time dynamics of solutions, including scattering and blow-up dynamics.
(with Soonsik Kwon and Jeongheon Park) Blow-up construction and instability for mass-critical half-wave equation with slightly superthreshold mass
arXiv:2508.07787
(with Uihyeon Jeong) Quantized blow-up dynamics for Calogero–Moser derivative nonlinear Schrödinger equation
arXiv:2412.12518
(with Soonsik Kwon) Soliton resolution for Calogero–Moser derivative nonlinear Schrödinger equation
arXiv:2408.12843
(with Kihyun Kim and Soonsik Kwon) Construction of smooth chiral finite-time blow-up solutions to Calogero–Moser derivative nonlinear Schrödinger equation
arXiv:2404.09603
The stability of degenerate solitons for derivative nonlinear Schrödinger equations
Journal of Mathematical Analysis and Applications, 2024, 539(1): Paper No. 128524. doi 10.1016/j.jmaa.2024.128524, arXiv:2305.03858
On the scattering of subcritical defocusing generalized Korteweg-de Vries equation
Discrete and Continuous Dynamical Systems, 2023, 43(6): 2241-2269. doi 10.3934/dcds.2023009