# SPD

## Seminar

### 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 $R^3$.

#### Video

The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.