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Navier-Stokes equations on a rotating sphere

Wednesday 4th December 2013 - 14:00 to 14:45
INI Seminar Room 1
We showed that, as the rotation rate $1/\epsilon$ increases, the solution of the 2d Navier-Stokes equations on a rotating sphere becomes zonal, in the sense that the non-zonal component of the energy becomes bounded by $\epsilon$. This is obtained by estimating near-resonant interactions in the nonlinear term. As a consequence, the global attractor reduces to a single stable steady state when the rotation is fast enough (but still finite).
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons