Strong solutions of the stochastic Navier-Stokes equations in $R^3$
Seminar Room 1, Newton Institute
AbstractWe 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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