Kihyun Kim

Doctoral student until August 2021 (advisor: Prof. Soonsik Kwon)
Department of Mathematical Sciences, KAIST, South Korea
Email: khyun1215 (at) kaist.ac.kr
Homepage: link (at KAIST) or link (Google sites)

I defended my Ph.D. thesis titled “Blow-up dynamics for the self-dual Chern-Simons-Schrödinger equation” on May 25, 2021.

• Long-time dynamics and singularity formation of solutions to nonlinear dispersive 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

• Analysis and PDE Seminar, Feb. 8, 2021, UC Berkeley, via Zoom,
  Blow-up dynamics for the self-dual Chern-Simons-Schrödinger equation
• Participating Analysis Seminar, Jan. 29, 2021, UCLA, via Zoom,
  Blow-up dynamics for the self-dual Chern-Simons-Schrödinger equation
• PDE Seminar, Jan. 26, 2021, KAIST, via Zoom,
  Blow-up dynamics for the self-dual Chern-Simons-Schrödinger equation
• (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. 8, 2019, KAIST, Daejeon, South Korea,
  Scattering of the defocusing generalized Benjamin-Ono equations
• Workshop for Students in Analysis and PDE, Jul. 12, 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, to appear in J. Hyperbolic Differ. Equ.
• Kihyun Kim and Soonsik Kwon, On pseudoconformal blow-up solutions to the self-dual Chern-Simons-Schrödinger equation: existence, uniqueness, and instability, to appear in Mem. Amer. Math. Soc.
• 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

Last update: June 2021