10 papers
Effective Lagrangian regularity and the uniqueness threshold for random Hölder velocity fields
Maria Colombo, Elias Hess-Childs, Keefer Rowan
We study the behavior of the ordinary differential equations, flow maps, and continuity equations associated to autonomous random velocity fields that admit a natural multiscale fi…
Sharp pathwise nonuniqueness for additive SDEs
Elias Hess-Childs, Keefer Rowan
We construct a family of velocity fields demonstrating the sharpness of the classical Zvonkin--Veretennikov--Davie strong well-posedness by noise regime. We consider stochastic dif…
The Obukhov--Corrsin spectrum of passive scalar turbulence through anomalous regularization
Keefer Rowan
The Obukhov--Corrsin spectrum predicts the distribution of Fourier mass for a passive scalar field advected by a "turbulent" velocity field with spatial regularity for $α…
Superexponential dissipation enhancement on
Keefer Rowan
We construct incompressible velocity fields that exhibit faster than exponential dissipation for particular solutions to the advection-diffusion equation on . In 2D,…
Turbulent and intermittent phenomena in a universal total anomalous dissipator
Elias Hess-Childs, Keefer Rowan
For all , we construct an explicit divergence-free vector field that exhibits universal anomalous (total) dissipation, accel…
Exponentially mixing flows with slow enhanced dissipation
William Cooperman, Gautam Iyer, Keefer Rowan +1
Consider a passive scalar which is advected by an incompressible flow and has small molecular diffusivity . Previous results show that if is exponentially mixing and $C…