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The primitive equations: anisotropic function spaces and stochastic forces

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TURW05 - Advances in geophysical and astrophysical turbulence

In this talk we consider the primitive equations in scaling invariant spaces of the form $L\infty(L1)$ and prove strong global well-posedness for continuous data. Secondly, in contrast to standard boundary conditions, we consider stochastic boundary condition. Considering the resulting problem as a stochastic evolution equation, we discuss well-posedness results also in this case.

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

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