Published and Accepted Articles
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). Commun. Math. Phys. 407, Article 79 (2026). [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(1), 547–597 (2026). [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, 317–387 (2025). [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(5), 5526–5574 (2023). [DOI] [arXiv]
Preprints
Time-asymptotic stability of viscous shocks for the outflow problem of one-dimensional compressible fluids of Korteweg type (with J. Kim and H. Oh), 2026. Under revision for J. Differential Equations. [arXiv:2606.14247]
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 (T. Terasoma and J. Keum, eds.), Springer Proceedings in Mathematics & Statistics, vol. 546, Springer, Singapore, 2026, pp. 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, 99–118 (2022). [Link]