### Strong solutions of the stochastic Navier-Stokes equations in $R^3$

Kim, JU *(Virginia)*

Monday 04 January 2010, 16:30-17:30

Seminar Room 1, Newton Institute

#### 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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