Gyounghun Ko

• Research Interests

My current research interests are nonlinear partial differential equations of various kinetic models, especially the Boltzmann equation. The research topic include boundary problems, Cauchy problems, and stability problems, etc. Recently, I have interested in the hydrodynamic limit, which connects solutions of the Boltzmann equation to those of the Euler equation or Navier-Stokes equations.

• Curriculum Vitae

CV

• Publication and Preprints

1. G.Ko, C.Kim, and D.Lee, Dynamical Billiard and a long-time behavior of the Boltzmann equation in general 3D toroidal domains, 2023 [arXiv] 

2. G. Bae, G.Ko, D.Lee, and S.Yun, Large amplitude problem of BGK model: Relaxation to quadratic nonlinearity, 2023 [arXiv]

3. G.Ko and D.Lee, On C2 solution of the free-transport equation in a disk, Kinetic and Related Models, 2022 [arXiv] [Journal]

4. G.Ko, D.Lee, and K.Park, The large amplitude solution of the Boltzmann equation with soft potential, Journal of Differential Equations, 2021 [arXiv] [Journal]

5. R.Duan, G.Ko, and D.Lee, The Boltzmann equation with a class of large-amplitude initial data and specular reflection boundary condition, Journal of Statistical Physics, 2023 [arXiv] [Journal]

• Honors / Awards

-Excellent Dissertation Award (April 2024, Korean Mathematical Society)

-Excellent Ph.D. Thesis Award (February 2024, POSTECH) 

-Graduate Research Fellowship (September 2023, POSTECH)

-Postechian Fellowship (Innovation) (November 2022, May 2022, POSTECH)

-BK21 Four Excellent Graduate Students (Research) (November 2023, August 2022, POSTECH) 

-Excellent Teaching Assistant (March 2022, February 2020, October 2018, POSTECH)

• Teaching

Teaching assistant (POSTECH)

-Calculus I (Spring 2018,2020,2021,2022,2023)

-Calculus II (Fall 2018, 2019, 2021, 2023)

-Differential equation (Fall 2020)

-Analysis I (Spring 2019)

-Ordinary differential equation (Fall 2022)