1 citations · 4 across the 10 of their papers we have counts for
10 papers
On the existence of fibered three-dimensional perfect fluid equilibria without continuous Euclidean symmetry
Theodore D. Drivas, Tarek M. Elgindi, Daniel Ginsberg
Following Lortz, we construct a family of smooth steady states of the ideal, incompressible Euler equation in three dimensions that possess no continuous Euclidean symmetry. As in…
Absence of anomalous dissipation for vortex sheets
Tarek Elgindi, Milton Lopes Filho, Helena Nussenzveig Lopes
A family of solutions of the incompressible Navier-Stokes equations is said to present anomalous dissipation if energy dissipation due to viscosity does not vanish in the limit of…
Cusp Formation in Vortex Patches
Tarek M. Elgindi, Min Jun Jo
We prove instantaneous cusp formation for any initial vortex patch with acute corners. This was conjectured to occur in the numerical literature.
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…
From Instability to Singularity Formation in Incompressible Fluids
Tarek M. Elgindi, Federico Pasqualotto
We establish finite-time singularity formation for solutions to the Boussinesq system that are compactly supported on and infinitely smooth except in the r…
Norm Growth, Non-uniqueness, and Anomalous Dissipation in Passive Scalars
Tarek M. Elgindi, Kyle Liss
We construct a divergence-free velocity field satisfying such th…