Strong solutions of the stochastic Navier-Stokes equations in $R^3$
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About this item
Description: |
Kim, JU (Virginia)
Monday 04 January 2010, 16:30-17:30 |
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Created: | 2010-01-07 15:28 | ||
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Collection: | Stochastic Partial Differential Equations | ||
Publisher: | Isaac Newton Institute | ||
Copyright: | Kim, JU | ||
Language: | eng (English) | ||
Distribution: | World (downloadable) | ||
Credits: |
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Explicit content: | No | ||
Aspect Ratio: | 4:3 | ||
Screencast: | No | ||
Bumper: | UCS Default | ||
Trailer: | UCS Default |
Abstract: | We establish the existence of local strong solutions to the stochastic Navier-Stokes equations in $R^3$. When the noise is multiplicative and non-degenerate, we show the existence of global solutions in probability if the initial data are sufficiently small. Our results are extention of the well-known results for the deterministic Navier-Stokes equations in $R^3$. |
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