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Time Scales in Homogenization of Periodic Flows with Vanishing Molecular Diffusion

✍ Scribed by Albert Fannjiang

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
215 KB
Volume
179
Category
Article
ISSN
0022-0396

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✦ Synopsis

We study the long time transport property of conservative systems perturbed by a small white noise. We introduce the dissipation and martingale times and show how they are related to the diffusion time on which a limit theorem is valid. The limit theorem is a probabilistic version of homogenization with vanishing molecular diffusion. Examples of nontrivial time scales are given.

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