Eddy heat exchange at the boundary under white noise turbulence

Abstract

We prove the existence of an eddy heat diffusion coefficient coming from an idealized model of turbulent fluid. A difficulty lies in the presence of a boundary, with also turbulent mixing and the eddy diffusion coefficient going to zero at the boundary. Nevertheless enhanced diffusion takes place.

arXiv comment13 pages

References in corpus (4)

• ANOMALOUS SCALING OF THE PASSIVE SCALAR
• Anomalous Scaling Exponents of a White-Advected Passive Scalar
• Intermittency in passive scalar advection
• Propagation of chaos for interacting particles subject to environmental noise

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