Published and Accepted Articles
Time-asymptotic stability of viscous shocks for the outflow problem of one-dimensional compressible fluids of Korteweg type (with J. Kim and H. Oh), J. Differential Equations 487 (2027), Paper No. 114811. [DOI] [arXiv]
Convergence to superposition of boundary layer, rarefaction and shock for the inflow problem of the 1D Navier–Stokes equations (with M.-J. Kang, J. Kim, N. Kim, and H. Oh), Comm. Math. Phys. 407 (2026), no. 4, Paper No. 79. [DOI] [arXiv]
Time-asymptotic stability of composite wave for the one-dimensional compressible fluid of Korteweg type (with J. Kim), SIAM J. Math. Anal. 58 (2026), no. 1, 547–597. [DOI] [arXiv]
Long-time behavior towards viscous-dispersive shock for Navier–Stokes equations of Korteweg type (with M.-J. Kang, J. Kim, and H. Lee), J. Differential Equations 426 (2025), 317–387. [DOI] [arXiv]
Large-time behavior of composite waves of viscous shocks for the barotropic Navier–Stokes equations (with M.-J. Kang and J. Kim), SIAM J. Math. Anal. 55 (2023), no. 5, 5526–5574. [DOI] [arXiv]
Preprints
Existence and uniqueness of viscous–dispersive shock profiles for the Navier–Stokes–Fourier–Korteweg system, arXiv:2610.16874 (2026). [arXiv]
Large-time behavior towards composite waves of degenerate shock and rarefaction wave for modified KdV–Burgers equation (with N. Eun and J. Kim. [arXiv]
Conference Proceedings
The method of a-contraction with shifts used for long-time behavior toward viscous shock (with M.-J. Kang and H. Lee), in: Japan–Korea Developments in Pure and Applied Mathematics, Springer Proc. Math. Stat. 546, Springer, 2026, 237–264. [DOI] [arXiv]
Large time behavior of Navier–Stokes flows perturbed from Riemann data in 1D (with M.-J. Kang and J. Kim), RIMS Kôkyûroku 2299 (2022), 99–118. [Link]