Kihyun Kim

Hi, I was a Ph.D. student at the Department of Mathematical Sciences at KAIST, under the supervision of Prof. Soonsik Kwon. I defended my Ph.D. thesis titled "Blow-up dynamics for the self-dual Chern-Simons-Schrödinger equation" on May 25, 2021.
This webpage will no longer be updated. Please find my Google Sites.

Research Interests

I work on the mathematical analysis of nonlinear dispersive equations. I'm particularly interested in the singularity formation of solutions.

Research Stays


Publications and Preprints

Most preprints are available at arXiv.

  1. 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
  2. Kihyun Kim and Soonsik Kwon, Construction of blow-up manifolds to the equivariant self-dual Chern-Simons-Schrödinger equation
  3. Kihyun Kim and Robert Schippa, Low regularity well-posedness for generalized Benjamin-Ono equations on the circle, to appear in J. Hyperbolic Differ. Equ.
  4. 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.
  5. 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:

TA Experiences

Last update: August 2021