University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Strong solutions of the stochastic Navier-Stokes equations in $R^3$

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

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Stochastic Partial Differential Equations

We establish the existence of local strong solutions to the stochastic Navier-Stokes equations in $R3$. 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 $R3$.

This talk is part of the Isaac Newton Institute Seminar Series series.

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