Ph. D. Student

Department of Mathematical Sciences, KAIST

Email: khyun1215((at))kaist.ac.kr

Office: E6-4422 (Natural Science Building)

My Google sites

CV: link

I work on mathematical analysis of nonlinear dispersive equations. I'm particularly interested in long-time dynamics and singularity formation of solutions to nonlinear dispersive equations. I'm preparing my Ph.D. thesis on the blow-up dynamics for the self-dual Chern-Simons-Schrödinger equations.

- Feb. 18 -- Aug. 22, 2020, Universität Bielefeld, Germany
- Jul. 15 -- Jul. 19, 2019, Korea Institute of Advanced Study, South Korea
- Jan. 21 -- Jan. 25, 2019, Korea Institute of Advanced Study, South Korea
- Jul. 30 -- Aug. 3, 2018, Korea Institute of Advanced Study, South Korea

- (Internal) Zoom analysis seminar, Jul. 15, 2020, Bielefeld University, Bielefeld, Germany,

*Codimension one blow-up solutions to the equivariant self-dual Chern-Simons-Schrödinger equation* - (Internal) Zoom analysis seminar, Apr. 22, 2020, Bielefeld University, Bielefeld, Germany,

*On pseudoconformal blow-up solutions to the self-dual Chern-Simons-Schrödinger equation: existence, uniqueness, and instability* - KMS Annual Meeting, Oct. 26, 2019, Hongik University, Seoul, South Korea,

*On pseudoconformal blow-up solutions to the self-dual Chern-Simons-Schrödinger equation: existence, uniqueness, and instability* - Seminar, Jul. 15, 2019, KIAS, Seoul, South Korea,

*On pseudoconformal blow-up solutions to the self-dual Chern-Simons-Schrödinger equation: existence, uniqueness, and instability* - Seminar, May 3, 2019, Chung-Ang University, Seoul, South Korea,

*Construction of pseudoconformal blow-up solutions to the self-dual Chern-Simons-Schrödinger equation* - Workshop on Analysis of Nonlinear Waves, Mar. 7 -- Mar. 8, 2019, KAIST, Daejeon, South Korea,

*Scattering of the defocusing generalized Benjamin-Ono equations* - Workshop for Students in Analysis and PDE, Jul. 12 -- Jul. 13, 2018, Sogang University, Seoul, South Korea,

*Scattering of the defocusing generalized Benjamin-Ono equations*

Most preprints are available at arXiv.

- Kihyun Kim, Soonsik Kwon, and Sung-Jin Oh,
*Blow-up dynamics for smooth finite energy radial data solutions to the self-dual Chern-Simons-Schrödinger equation* - Kihyun Kim and Soonsik Kwon,
*Construction of blow-up manifolds to the equivariant self-dual Chern-Simons-Schrödinger equation* - Kihyun Kim and Robert Schippa,
*Low regularity well-posedness for generalized Benjamin-Ono equations on the circle* - Kihyun Kim and Soonsik Kwon,
- Kihyun Kim and Soonsik Kwon,
*Scattering for defocusing generalized Benjamin-Ono equation in the energy space*, Trans. Amer. Math. Soc.**372**(2019), 5011-5067, DOI: https://doi.org/10.1090/tran/7831

- 16S MAS331 Topology
- 16F MAS102 Calculus II
- 16F MAS441 Lebesgue Integral Theory
- 17S MAS101 Calculus I
- 17S MAS241 Analysis I
- 18S MAS540 Real Analysis
- 19S MAS331 Topology
- 19F MAS250 Probability and Statistics
- 20F MAS250 Probability and Statistics
- 20F MAS441 Lebesgue Integral Theory