7 citations · 18 across the 10 of their papers we have counts for
19 papers
Propagation of singularities by Osgood vector fields and for 2D inviscid incompressible fluids
Theodore D. Drivas, Tarek M. Elgindi, Joonhyun La
We show that certain singular structures (Hölderian cusps and mild divergences) are transported by the flow of homeomorphisms generated by an Osgood velocity field. The structure o…
Stationary Structures near the Kolmogorov and Poiseuille Flows in the 2d Euler Equations
Michele Coti Zelati, Tarek M. Elgindi, Klaus Widmayer
We study the behavior of solutions to the incompressible Euler equations near two canonical shear flows with critical points, the Kolmogorov and Poiseuille flows, with consequ…
WaveQ: Gradient-Based Deep Quantization of Neural Networks through Sinusoidal Adaptive Regularization
Ahmed T. Elthakeb, Prannoy Pilligundla, Fatemehsadat Mireshghallah +3
As deep neural networks make their ways into different domains, their compute efficiency is becoming a first-order constraint. Deep quantization, which reduces the bitwidth of the…
The incompressible Euler equations under octahedral symmetry: singularity formation in a fundamental domain
Tarek M. Elgindi, In-Jee Jeong
We consider the 3D incompressible Euler equations in vorticity form in the following fundamental domain for the octahedral symmetry group: 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 the Stability of Self-similar Blow-up for Solutions to the Incompressible Euler Equations on
Tarek M. Elgindi, Tej-Eddine Ghoul, Nader Masmoudi
We study the stability of recently constructed self-similar blow-up solutions to the incompressible Euler equation. A consequence of our work is the existence of finite-energy $C^{…