26 citations · 156 across the 50 of their papers we have counts for
7 papers · 1 filter
Weakened vortex stretching effect in three scale hierarchy for the 3D Euler equations
In-Jee Jeong, Jungkyoung Na, Tsuyoshi Yoneda
We consider the 3D incompressible Euler equations under the following three scale hierarchical situation: large-scale vortex stretching the middle-scale, and at the same time, the…
Illposedness for dispersive equations: Degenerate dispersion and Takeuchi--Mizohata condition
In-Jee Jeong, Sung-Jin Oh
We provide a unified viewpoint on two illposedness mechanisms for dispersive equations in one spatial dimension, namely degenerate dispersion and (the failure of) the Takeuchi--Miz…
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 in any sufficiently regular Sobolev spaces, w…
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 θ- \nabla^\perp \log(10+(-Δ)^{\frac12…
On well-posedness of -SQG equations in the half-plane
In-Jee Jeong, Junha Kim, Yao Yao
We investigate the well-posedness of -SQG equations in the half-plane, where and correspond to the 2D Euler and SQG equations respectively. For , we prov…
Twisting in Hamiltonian Flows and Perfect Fluids
Theodore D. Drivas, Tarek M. Elgindi, In-Jee Jeong
We introduce a notion of stability for non-autonomous Hamiltonian flows on two-dimensional annular surfaces. This notion of stability is designed to capture the sustained twisting…
Logarithmic spirals in 2d perfect fluids
In-Jee Jeong, Ayman R. Said
We study logarithmic spiraling solutions to the 2d incompressible Euler equations which solve a nonlinear transport system on . We show that this system is locally well…