26 citations · 156 across the 50 of their papers we have counts for
10 papers · 1 filter
On vortex stretching for anti-parallel axisymmetric flows
Kyudong Choi, In-Jee Jeong
We consider axisymmetric incompressible inviscid flows without swirl in , under the assumption that the axial vorticity is non-positive in the upper half space and od…
A simple proof of ill-posedness for incompressible Euler equations in critical Sobolev spaces
In-Jee Jeong, Junha Kim
We provide a simple proof that the Cauchy problem for the incompressible Euler equations in with any is ill-posed in critical Sobolev spaces, extending an…
Loss of regularity for the 2D Euler equations
In-Jee Jeong
In this note, we construct solutions to the 2D Euler equations which belong to the Yudovich class but lose regularity continuously with time.
Infinite growth in vorticity gradient of compactly supported planar vorticity near Lamb dipole
Kyudong Choi, In-Jee Jeong
We prove linear in time filamentation for perturbations of the Lamb dipole, which is a traveling wave solution to the incompressible Euler equations in . The main ing…
Strong illposedness for SQG in critical Sobolev spaces
In-Jee Jeong, Junha Kim
We prove that the inviscid surface quasi-geostrophic (SQG) equations are strongly ill-posed in critical Sobolev spaces: there exists an initial data $H^{2}(\bbT^2)$ without any sol…
Filamentation near Hill's vortex
Kyudong Choi, In-Jee Jeong
For the axisymmetric incompressible Euler equations, we prove linear in time filamentation near Hill's vortex: there exists an arbitrary small outward perturbation growing linearly…
Preservation of log-Hölder coefficients of the vorticity in the transport equation
Dongho Chae, In-Jee Jeong
We show that the log-Hölder coefficients of a solution to the transport equation is preserved in time.
Well-posedness and singularity formation for inviscid Keller-Segel-fluid system of consumption type
In-Jee Jeong, Kyungkeun Kang
We consider the Keller-Segel system of consumption type coupled with an incompressible fluid equation. The system describes the dynamics of oxygen and bacteria densities evolving w…
Relaxation to fractional porous medium equation from Euler--Riesz system
Young-Pil Choi, In-Jee Jeong
We perform asymptotic analysis for the Euler--Riesz system posed in either or in the high-force regime and establish a quantified relaxation limit res…
Classical solutions for fractional porous medium flow
Young-Pil Choi, In-Jee Jeong
We consider the fractional porous medium flow introduced by Caffarelli-Vazquez and obtain local in time existence, uniqueness, and blow-up criterion for smooth solutions. The proof…