Publications

● (with In-Jee Jeong and Yao Yao) On well-posedness of $\alpha$-SQG equations in the half-plane

Trans. Amer. Math. Soc., 378 (2025), 421–446.

● (with Young-Pil Choi and Jinwook Jung) A revisit to the pressureless Euler-Navier-Stokes system in the whole space and its optimal temporal decay

J. Differential Equations, 401 (2024), 231-281.

● (with Min Jun Jo) Quantitative asymptotic stability of the quasi-linearly stratified densities in the IPM equation with the sharp decay rates

J. Funct. Anal., 286 (11), 110401.

● (with Min Jun Jo and Jihoon Lee) Non-convergence of the rotating stratified flows toward the quasi-geostrophic dynamics

SIAM J. Math. Anal., 56 (3), 3357-3385.

● (with In-Jee Jeong) Strong illposedness for SQG in critical Sobolev spaces

Anal. PDE, 17:1 (2024), 133–170.

● (with Juhi Jang) Asymptotic stability and sharp decay rates to the linearly stratified Boussinesq equations in horizontally periodic strip domain

Calc. Var. PDE, 62 (2023), 141.

● (with In-Jee Jeong) A simple proof of ill-posedness for incompressible Euler equations in critical Sobolev spaces

J. Funct. Anal. 283 (2022), no. 10, Paper No. 109673.

● (with Jihoon Lee) Stratified Boussinesq equations with a velocity damping term

Nonlinearity 35 (2022), 3059.

● Rotational effect on the asymptotic stability of the MHD system

J. Differential Equations 319 (2022), 288-311.

● (with Dongho Chae and Joerg Wolf) On Liouville type theorems for the stationary MHD and the Hall-MHD systems in R^3 

Z. Angew. Math. Phys. 73 (2022), no. 2, Paper No. 66.

● (with Dongho Chae and Joerg Wolf) On Liouville type theorems in the stationary non-Newtonian fluids

J. Differential Equations 302 (2021), 710–727.

● (with Jaewook Ahn and Jihoon Lee) Coriolis effect on temporal decay rates of global solutions to the fractional Navier-Stokes equations,

Math. Ann. 383 (2022), 259–289.

● (with Jaewook Ahn and Jihoon Lee) Global solutions to 3D incompressible rotational MHD system,

J. Evol. Equ. 21 (2021), no. 1, 235-246.​

● (with Eunji Jeong and Jihoon Lee) Stabilization in a two dimensional two-species aerotaxis-Navier–Stokes system,

Nonlinear Anal. Real World Appl. 57 (2021), 10 pp.​

● (with Eunji Jeong and Jihoon Lee) Local Well-Posedness and Blow-Up for the Solutions to the Axisymmetric Inviscid Hall-MHD Equations,

Adv. Math. Phys. 2018, 16 pp.

● (with Jaewook Ahn, Kyungkeun Kang, and Jihoon Lee) Lower Bound of Mass in a Chemotactic Model with Advection and Absorbing Reaction,

SIAM J. Math. Anal. 49 (2017), no. 2, 723–755.