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Diffusion-Approximations for Navier-Stokes Equation in Space-Time Gaussian Velocity Field
Author:
Hisao Watanabe a
| Affiliation: | a Department of Applied Mathematics, Okayama University of Science, Okayama, Singapore, Japan |
DOI:
10.1081/SAP-200026472
Publication Frequency:
6 issues per year
Published in:
Stochastic Analysis and Applications,
Volume
22,
Issue
5
January
2005
, pages 1363
- 1384
Stochastic Analysis and Applications,
Volume
22,
Issue
5
January
2005
, pages 1363
- 1384
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(English)
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(English)
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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.
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| Keywords: Stochastic partial differential equation; Navier-Stokes; Distribution valued process |
| Mathematics Subject Classification: Primary 60H15; Secondary 35R60 |
| view references (13) |
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