A stochastic Burgers equation: Bringing together chaos expansion, embedding theorems, and Catalan numbers
Duration: 46 mins 29 secs
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About this item
| Description: |
Lototsky, S (Southern California)
Wednesday 06 January 2010, 14:00-15:00 |
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| Created: | 2010-01-11 12:32 | ||
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| Collection: | Stochastic Partial Differential Equations | ||
| Publisher: | Isaac Newton Institute | ||
| Copyright: | Lototsky, S | ||
| Language: | eng (English) | ||
| Credits: |
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| Abstract: | A special stochastic perturbation of the Burgers equation is considered. The nature of the perturbation is such that the solution is not square-integrable, and the growth of the norms at different stochastic scales is described by the Catalan numbers. Many similar equations with quadratic nonlinearity exhibit the same behavior. |
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