In-Jee Jeong

activity

20242026

collaborators

5 papers

math.AP2026

Discontinuity of the Vlasov--Poisson Flow in $L_{x}^{p} L_{v}^{\infty}$

Ke Chen, In-Jee Jeong, Quoc-Hung Nguyen +1

We prove that solution maps of the Vlasov--Poisson equation are discontinuous at the zero initial datum in $X_{p} = L_{x}^{p} L_{v}^{\infty}$ for every $1 \leq p < \infty$ , in $\mathbb{R}^{d} \tim…

math.AP2025

Low regularity Sobolev well-posedness for Vlasov--Poisson

In-Jee Jeong, Sangwook Tae

We consider the Vlasov--Poisson equation on $R^{n} \times R^{n}$ with $n \geq 3$ . We prove local well-posedness in $H^{s} (R^{n} \times R^{n})$ with $s> n…

math.AP2025

Wellposedness of inviscid SQG in the half-plane

In-Jee Jeong, Junha Kim, Hideyuki Miura

We consider the SQG equation without dissipation on the half-plane with Dirichlet boundary condition, and prove local wellposedness in the spaces $W^{3, p}$ and $C^{2, β}$ for any $1…

math.AP2024

On illposedness of the Hall and electron magnetohydrodynamic equations without resistivity on the whole space

In-Jee Jeong, Sung-Jin Oh

It has been shown in our previous work that the incompressible and irresistive Hall- and electron-magnetohydrodynamic (MHD) equations are illposed on flat domains $M = \mathbb{R}^k…