Sungho Han

Sungho Han (한성호)

Postdoctoral Researcher

Research Center for Natural Sciences, KAIST

Address: 291 Daehak-ro, Yuseong-gu, Daejeon 34141, Republic of Korea

Office: 2211, Building E2-1

I am a Postdoctoral Researcher at the KAIST Institute for Natural Sciences under the supervision of Professor Moon-Jin Kang.

I received both my Ph.D. (2025) and M.S. (2022) in Mathematical Science from KAIST, where I studied under his supervision. I completed my B.S. in Mathematics at Kyung Hee University in 2020.

Curriculum Vitae[link]

Research Interests

My research interests lie in the mathematical analysis of nonlinear wave phenomena in compressible fluid dynamics. These include self-similar structures such as shock waves, rarefaction waves, and contact discontinuities arising from the Riemann problem, as well as boundary layer profiles that appear in initial–boundary value problems. I am particularly interested in the stability and long-time behavior of solutions to compressible Navier–Stokes type equations and related Korteweg-type models.

Publications

Preprints

S. Han, J. Kim, Time-asymptotic stability of composite wave for the one-dimensional compressible fluid of Korteweg type, arXiv:2502.01063 Link
S. Han, M.-J. Kang, H. Lee, The method of a-contraction with shifts used for long-time behavior toward viscous shock, arXiv:2410.12875 Link
S. Han, M.-J. Kang, J. Kim, N. Kim, H. Oh, Convergence to superposition of boundary layer, rarefaction and shock for the 1D Navier–Stokes equations, arXiv:2502.08126 Link

Published / Accepted Articles

S. Han, M.-J. Kang, J. Kim, H. Lee, Long-time behavior towards viscous–dispersive shock for Navier–Stokes equations of Korteweg type, J. Differential Equations, 426 (2025), no. 5, 317–387 Link
S. Han, M.-J. Kang, J. Kim, Large-time behavior of composite waves of viscous shocks for the barotropic Navier–Stokes equations, SIAM J. Math. Anal., 55 (2023), 5526–5574 Link
S. Han, M.-J. Kang, J. Kim, Large time behavior of Navier–Stokes flows perturbed from Riemann data in 1D, RIMS Kôkyûroku, No. 2299 (2022) Link

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