Kihyun Kim

Doctoral student (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)

Research Interests

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

Research Stays

  • 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

Talks

  • 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

Publications and Preprints

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, 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: February 2021


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