T. Elgindi

activity

20132025

most citedEnhanced dissipation in the Navier-Stokes equations near the Poiseuille flow

73 citations · 315 across the 46 of their papers we have counts for

collaborators

Showing 2016 · math.APShow all

3 papers · 2 filters

math.AP2016★ 9 cited

Symmetries and Critical Phenomena in Fluids

Tarek M. Elgindi, In-Jee Jeong

We show that given an initial vorticity which is bounded and $m$ -fold rotationally symmetric for $m \geq 3$ , there is a unique global solution to the 2D Euler equation on the whole…

math.AP2016★ 13 cited

Remarks on functions with bounded Laplacian

Tarek M. Elgindi

$Δ ψ := \frac{\partial ^{2} ψ}{\partial x _{1}^{2}} + \frac{\partial ^{2} ψ}{\partial x _{2}^{2}}$ being locally bounded does not imply that $D^{2} ψ$ is locally bounded. However, we prove that if $ψ$ is…

math.AP2016★ 4 cited

Ill-posedness for the incompressible Euler equations in critical Sobolev spaces

Tarek Mohamed Elgindi, In-Jee Jeong

For the $2 D$ Euler equation in vorticity formulation, we construct localized smooth solutions whose critical Sobolev norms become large in a short period of time, and solutions whi…