73 citations · 315 across the 46 of their papers we have counts for
8 papers · 2 filters
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^{…
On Singular Vortex Patches, II: Long-time dynamics
Tarek M. Elgindi, In-Jee Jeong
In a companion paper, we gave a detailed account of the well-posedness theory for singular vortex patches. Here, we discuss the long-time dynamics of some of the classes of vortex…
Inviscid limit of vorticity distributions in Yudovich class
Peter Constantin, Theodore D. Drivas, Tarek M. Elgindi
We prove that given initial data , forcing , and any , the solutions of Navier-Stokes converge…
Stable self-similar blowup for a family of nonlocal transport equations
Tarek M. Elgindi, Tej-Eddine Ghoul, Nader Masmoudi
We consider a family of non-local problems that model the effects of transport and vortex stretching in the incompressible Euler equations. Using modulation techniques, we establis…
Finite-Time Singularity Formation for Solutions to the Incompressible Euler Equations on
Tarek M. Elgindi
It has been known since work of Lichtenstein [42] and Gunther [29] in the 1920's that the incompressible Euler equation is locally well-posed in the class of velocity fields w…
On Singular Vortex Patches, I: Well-posedness Issues
Tarek M. Elgindi, In-Jee Jeong
The purpose of this work is to discuss the well-posedness theory of singular vortex patches. Our main results are of two types: well-posedness and ill-posedness. On the well-posedn…
Enhanced dissipation in the Navier-Stokes equations near the Poiseuille flow
Michele Coti Zelati, Tarek M. Elgindi, Klaus Widmayer
We consider solutions to the 2d Navier-Stokes equations on close to the Poiseuille flow, with small viscosity . Our first result concerns a semigr…