60 citations · 730 across the 55 of their papers we have counts for
6 papers · 1 filter
Circulation and Energy Theorem Preserving Stochastic Fluids
Theodore D. Drivas, Darryl D Holm
Smooth solutions of the incompressible Euler equations are characterized by the property that circulation around material loops is conserved. This is the Kelvin theorem. Likewise,…
Remarks on the emergence of weak Euler solutions in the vanishing viscosity limit
Theodore D. Drivas, Huy Q. Nguyen
We prove that if the local second-order structure function exponents in the inertial range remain positive uniformly in viscosity, then any spacetime weak limit of Leray--Hop…
"Life after death" in ordinary differential equations with a non-Lipschitz singularity
Theodore D. Drivas, Alexei A. Mailybaev
We consider a class of ordinary differential equations in -dimensions featuring a non-Lipschitz singularity at the origin. Solutions of such systems exist globally and are uniqu…
Onsager's conjecture and anomalous dissipation on domains with boundary
Theodore D. Drivas, Huy Q. Nguyen
We give a localized regularity condition for energy conservation of weak solutions of the Euler equations on a domain , , with boundary. In the bulk…
Compressible fluids and active potentials
Peter Constantin, Theodore D. Drivas, Huy Q. Nguyen +1
We consider a class of one dimensional compressible systems with degenerate diffusion coefficients. We establish the fact that the solutions remain smooth as long as the diffusion…
Turbulent Cascade Direction and Lagrangian Time-Asymmetry
Theodore D. Drivas
We establish Lagrangian formulae for energy conservation anomalies involving the discrepancy between short-time two-particle dispersion forward and backward in time. These results…