In-Jee Jeong

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20242026

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4 papers · 1 filter

math.AP2026

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 $C^{2, I^^{2}}$ for any $…

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…

math.AP2024

Wellposedness of the electron MHD without resistivity for large perturbations of the uniform magnetic field

In-Jee Jeong, Sung-Jin Oh

We prove the local wellposedness of the Cauchy problems for the electron magnetohydrodynamics equations (E-MHD) without resistivity for possibly large perturbations of nonzero unif…