60 citations · 730 across the 55 of their papers we have counts for
6 papers · 1 filter
A stochastic approach to enhanced diffusion
Michele Coti Zelati, Theodore D. Drivas
We provide examples of initial data which saturate the enhanced diffusion rates proved for general shear flows which are Hölder regular or Lipschitz continuous with critical points…
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(…
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…
Entropy Hierarchies for equations of compressible fluids and self-organized dynamics
Peter Constantin, Theodore D. Drivas, Roman Shvydkoy
We develop a method of obtaining a hierarchy of new higher-order entropies in the context of compressible models with local and non-local diffusion and isentropic pressure. The loc…
Lagrangian averaged stochastic advection by Lie transport for fluids
Theodore D. Drivas, Darryl D. Holm, James-Michael Leahy
We formulate a class of stochastic partial differential equations based on Kelvin's circulation theorem for ideal fluids. In these models, the velocity field is randomly transporte…
Boundary conditions and polymeric drag reduction for the Navier-Stokes equations
Theodore D. Drivas, Joonhyun La
Reducing wall drag in turbulent pipe and channel flows is an issue of great practical importance. In engineering applications, end-functionalized polymer chains are often employed…