Publications
Papers
● (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, to appear
● (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., to appear
● (with Min Jun Jo and Jihoon Lee) Non-convergence of the rotating stratified flows toward the quasi-geostrophic dynamics
SIAM J. Math. Anal., to appear
● (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.
Preprints
● (with In-Jee Jeong and Yao Yao) On well-posedness of $\alpha$-SQG equations in the half-plane
● (with Min Jun Jo) Velocity blow-up in $C^1 \cap H^2$ for the 2D Euler equations
● (with Min Jun Jo and Jihoon Lee) Asymptotic stability of the 2D MHD equations with a velocity damping term around the constant background magnetic field