Rough flows and homogenization in stochastic turbulence

Abstract

We provide in this work a tool-kit for the study of homogenisation of random ordinary differential equations, under the form of a friendly-user black box based on the tehcnology of rough flows. We illustrate the use of this setting on the example of stochastic turbulence.

v2, 27 pages; presentation fairly improved; extended scope for the material

References in corpus (1)

• The corrector in stochastic homogenization: optimal rates, stochastic integrability, and fluctuations

Cited by in corpus (2)

• Paracontrolled quasilinear SPDEs
• Random dynamical systems, rough paths and rough flows