Ayman R. Said

most citedWellposedness and singularity formation beyond the Yudovich class

1 citations · 2 across the 2 of their papers we have counts for

collaborators

2 papers

math.AP2024★ 1 cited

A Classification Theorem for Steady Euler Flows

Tarek M. Elgindi, Yupei Huang, Ayman R. Said +1

Fix a bounded, analytic, and simply connected domain $Ω \subset R^{2} .$ We show that all analytic steady states of the Euler equations with stream function $ψ$ are either radi…

math.AP2023★ 1 cited

Wellposedness and singularity formation beyond the Yudovich class

Tarek M. Elgindi, Ryan W. Murray, Ayman R. Said

We introduce a local-in-time existence and uniqueness class for solutions to the 2d Euler equation with unbounded vorticity. Furthermore, we show that solutions belonging to this c…