REVIEW 1 cited by
Anomalous diffusion via iterative quantitative homogenization: an overview of the main ideas
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
Anomalous diffusion is the fundamental ansatz of phenomenological theories of passive scalar turbulence, and has been confirmed numerically and experimentally to an extraordinary extent. The purpose of this survey is to discuss our recent result, in which we construct a class of incompressible vector fields that have many of the properties observed in a fully turbulent velocity field, and for which the associated scalar advection-diffusion equation generically displays anomalous diffusion. Our main contribution is to propose an analytical framework in which to study anomalous diffusion via a backward cascade of renormalized eddy viscosities.
Forward citations
Cited by 1 Pith paper
-
A Measure-Theoretic Approach to Spontaneous Stochasticity
Spontaneous stochasticity is formalized as a measure-selection principle, and the paper proves that any probability measure on the nonunique inviscid solution set is realizable as the limiting law of some regularization.
Discussion (0). Continue with ORCID to comment.