Kihyun Kim

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

Research Interests

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.

Research Stays

Talks

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
  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: https://doi.org/10.1090/tran/7831

Teaching Assistant

Last update: October 2020