Strong solutions of the stochastic Navier-Stokes equations in $R^3$
47 mins 3 secs,
673.28 MB,
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480x360,
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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)
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| Credits: |
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| Explicit content: | No | ||
| Aspect Ratio: | 4:3 | ||
| Screencast: | No | ||
| Bumper: | /sms-ingest/static/new-4x3-bumper.dv | ||
| Trailer: | /sms-ingest/static/new-4x3-trailer.dv | ||
| 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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