Publications [#361923] of Tarek M Elgindi

Papers Published

1. Elgindi, T; Ibrahim, S; Shen, S, Finite-time singularity formation for an active scalar equation, Nonlinearity, vol. 34 no. 7 (July, 2021), pp. 5045-5069 [doi]
   (last updated on 2024/04/23)

   Abstract:
   We introduce an active scalar equation with a similar structure to the 3D Euler equations. Through studying the behavior of scale-invariant solutions, we show that compactly supported Lipschitz solutions belonging to CR2 0 can become singular in finite time. The interesting feature here is that we can achieve this in the absence of spatial boundaries.