7 citations · 21 across the 20 of their papers we have counts for
27 papers
Active vector models generalizing 3D Euler and electron--MHD equations
Dongho Chae, In-Jee Jeong
We introduce an active vector system, which generalizes both the 3D Euler equations and the electron--magnetohydrodynamic equations (E--MHD). We may as well view the system as sing…
Stability and instability of Kelvin waves
Kyudong Choi, In-Jee Jeong
The -waves of Kelvin are uniformly rotating patch solutions of the 2D Euler equations with -fold rotational symmetry for . For Kelvin waves sufficiently close to the…
Global-in-time existence of weak solutions for Vlasov-Manev-Fokker-Planck system
Young-Pil Choi, In-Jee Jeong
We consider the Vlasov-Manev-Fokker-Planck (VMFP) system in three dimensions, which differs from the Vlasov-Poisson-Fokker-Planck in that it has the gravitational potential of the…
Well-posedness and singularity formation for Vlasov--Riesz system
Young-Pil Choi, In-Jee Jeong
We investigate the Cauchy problem for the Vlasov--Riesz system, which is a Vlasov equation featuring an interaction potential generalizing previously studied cases, including the C…
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…