26 citations · 156 across the 50 of their papers we have counts for
6 papers · 2 filters
Enstrophy dissipation and vortex thinning for the incompressible 2D Navier-Stokes equations
In-Jee Jeong, Tsuyoshi Yoneda
By direct numerical simulation to the two-dimensional Navier-Stokes equations with small-scale forcing and large-scale damping, Xiao-Wan-Chen-Eyink (2009) found an evidence that in…
Anomalous Dissipation in Passive Scalar Transport
Theodore D. Drivas, Tarek M. Elgindi, Gautam Iyer +1
We study anomalous dissipation in hydrodynamic turbulence in the context of passive scalars. Our main result produces an incompressible $C^\infty([0,T)\times \mathbb{T}^d)\cap L^1(…
On Singular Vortex Patches, II: Long-time dynamics
Tarek M. Elgindi, In-Jee Jeong
In a companion paper, we gave a detailed account of the well-posedness theory for singular vortex patches. Here, we discuss the long-time dynamics of some of the classes of vortex…
On Singular Vortex Patches, I: Well-posedness Issues
Tarek M. Elgindi, In-Jee Jeong
The purpose of this work is to discuss the well-posedness theory of singular vortex patches. Our main results are of two types: well-posedness and ill-posedness. On the well-posedn…
A remark on the zeroth law and instantaneous vortex stretching on the incompressible 3D Euler equations
In-Jee Jeong, Tsuyoshi Yoneda
By DNS of Navier-Stokes turbulence, Goto-Saito-Kawahara (2017) showed that turbulence consists of a self-similar hierarchy of anti-parallel pairs of vortex tubes, in particular, st…
On the Cauchy problem for the Hall and electron magnetohydrodynamic equations without resistivity I: illposedness near degenerate stationary solutions
In-Jee Jeong, Sung-Jin Oh
In this article, we prove various illposedness results for the Cauchy problem for the incompressible Hall- and electron-magnetohydrodynamic (MHD) equations without resistivity. The…