HyeonSeop Oh (오현섭)

Ph.D. student (Advisor: Prof. Moon-Jin Kang)

Department of Mathematical Sciences, KAIST

Address: 291 Daehak-ro, Yuseong-gu, Daejeon, 43141, Korea

Office: 3424, Bldg E6-1

Curriculum Vitae

Research Interests

Welcome! I am interested in nonlinear PDEs arising in physics (Fluid dynamics; Hyperbolic conservation laws, especially shock waves), more precisely in well-posed problems; asymptotic analysis

Publications

Preprints:

1. Decay of large solutions around shocks to multi-D viscous conservation law with strictly convex flux (with M.-J. Kang) arXiv:2501.04311

2. Convergence to superposition of boundary layer, rarefaction and shock for the 1D Navier-Stokes equations (with S. Han, M.-J. Kang, J. Kim, N. Kim) arXiv:2502.08126

3. Asymptotic behavior toward viscous shocks for the outflow problem of barotropic Navier-Stokes equations (with M.-J. Kang, Y. Wang) arXiv:2505.08171

4. 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

5. Stability of viscous shock for the Navier-Stokes-Fourier system: outflow and impermeable wall problems (with X. Huang, H. Lee) arXiv:2509.02215

Published/accepted Articles

[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)

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