In-Jee Jeong

collaborators

3 papers

math.AP2026

Global well-posedness for the incompressible Euler equations in an endpoint Sobolev space

RaphaÃ«l Danchin, In-Jee Jeong

We consider the initial value problem for the vorticity equation in the endpoint critical Sobolev space $W^{d, 1} (R^{d})$ for $d = 2, 3$ . In two dimensions, we prove global…

math.AP2025

Illposedness via degenerate dispersion for generalized surface quasi-geostrophic equations with singular velocities

Dongho Chae, In-Jee Jeong, Sung-Jin Oh

We prove strong nonlinear illposedness results for the generalized SQG equation $\partial_{t} I^¸ + \nabla^{⊥} I^ [I^¸] \cdot \nabla I^¸ = 0$ in any sufficiently regular Sobolev space…

math.AP2025

Well-posedness for Ohkitani model and long-time existence for surface quasi-geostrophic equations

Dongho Chae, In-Jee Jeong, Jungkyoung Na +1

We consider the Cauchy problem for the logarithmically singular surface quasi-geostrophic (SQG) equation, introduced by Ohkitani, $$\partial_t Î¸- \nabla^\perp \log(10+(-Î)^{\frac…