Publications

Preprints: 

1. Stability of Riemann Shocks for isothermal Euler by Inviscid limits of global-in-time large Navier-Stokes flows (with S. Eo, N. Eun, M.-J. Kang) arXiv:2505.15078

2. Long-time dynamics toward a generic composite wave for the inflow problem of the Navier–Stokes–Fourier system (with X. Huang, M.-J. Kang, H. Lee) arXiv:2608.23186

3. Weak-BV stability of inflow and outflow problems for the isentropic Euler system (with M.-J. Kang, J. Meng, A. Vasseur)

Published/accepted Articles

[7] Time-asymptotic stability of viscous shocks for the outflow problem of one-dimensional compressible fluids of Korteweg type (with S. Han, J. Kim) J. Differ. Equat. 487, 114811 (2027)

[6] Stability of viscous shock for the Navier-Stokes-Fourier system: outflow and impermeable wall problems (with X. Huang, H. Lee) To appear in Anal. Appl. arXiv

[5] Asymptotic behavior toward viscous shock for the outflow problem of barotropic Navier-Stokes equations (with M.-J. Kang, Y. Wang) Nonlinearity 39(7) 075006 (2026)

[4] Convergence to Superposition of Boundary Layer, Rarefaction and Shock for the Inflow Problem of the 1D Navier–Stokes Equations (with S. Han, M.-J. Kang, J. Kim, N. Kim) Commun. Math. Phys. 407(79) (2026)

[3] Decay of large solutions around shocks to multi-D viscous conservation law with strictly convex flux (with M.-J. Kang) J. Math. Anal. Appl. 558(1) 130364 (2026)

[2] Traveling Wave Solutions to Brenner-Navier-Stokes-Fourier system (with S. Eo, N. Eun, M.-J. Kang) J. Differ. Equat. 422, 639-658 (2025) 

[1] L^2 decay for large perturbations of viscous shocks for multi-D Burgers equation (with M.-J. Kang) Anal. Appl. 23, 475-488 (2025)