Diffusion in turbulence
نویسنده
چکیده
We prove long time diffusive behavior (homogenization) for convec-tion-diffusion in a turbulent flow that it incompressible and has a stationary and square integrable stream matrix. Simple shear flow examples show that this result is sharp for flows that have stationary stream matrices. Contents 1 Introduction 279 2 Outline of the paper 286 3 Abstract framework 288 4 Variational principles 294 5 Existence, uniqueness and a priori estimates 300 6 Convergence 304 7 Probabilistic convergence theorem: compactness of the process 314 8 The proofs of some technical lemmas 317 A Summary of notation used 333
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