In-Jee Jeong

collaborators

4 papers

math.AP2025

Homogeneous steady states for the generalized surface quasi-geostrophic equations

Ken Abe, Javier Gómez-Serrano, In-Jee Jeong

We consider homogeneous (stationary self-similar) solutions to the generalized surface quasi-geostrophic (gSQG) equations parametrized by the constant $0 < s < 1$ , representing the 2D…

math.AP2025

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation

In-Jee Jeong, Luis Martínez-Zoroa, Wojciech S. Ożański

We prove instantaneous and continuous-in-time loss of supercritical Sobolev regularity for the 3D incompressible Euler equations in $R^{3}$ . Namely, for any $s \in (0, 3/2)$ …

math.AP2025

Superlinear gradient growth for 2D Euler equation without boundary

In-Jee Jeong, Yao Yao, Tao Zhou

We consider the vorticity gradient growth of solutions to the two-dimensional Euler equations in domains without boundary, namely in the torus $T^{2}$ and the whole plane…

math.AP2025

MHS equilibria in the non-resistive limit to the randomly forced resistive magnetic relaxation equations

Ken Abe, In-Jee Jeong, Federico Pasqualotto +1

We consider randomly forced resistive magnetic relaxation equations (MRE) with resistivity $κ > 0$ and a force proportional to $κ$ on the flat $d$ -torus $T^{d}$ for $…