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Stochastic Analysis and Applications Volume 22, 2004 - Issue 5
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Original Articles

Diffusion-Approximations for Navier-Stokes Equation in Space-Time Gaussian Velocity Field

Hisao Watanabe Department of Applied Mathematics, Okayama University of Science, Okayama, Singapore, Japan; Department of Applied Mathematics, Okayama University of Science, Ridai-cho 1-1, Okayama, Singapore, 700, JapanCorrespondence[email protected]
Pages 1363-1384 | Published online: 01 Sep 2006
 
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Abstract

By approximation methods, the existence of solutions for the Navier-Stokes equation with rapidly oscillating drift term for dimention 2 or 3 is proved. Also by the martingale method, stochastic Navier-Stokes equation is considered.

Mathematics Subject Classification:

Acknowledgments

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