| Abstract: |
| Following the first part of this talk by Franck Sueur, I will present some controllability issues for the two-dimensional dual semi-geostrophic equation, a fully nonlinear counterpart of the incompressible Euler equations, where the linear Biot-Savart law is replaced by the nonlinear Monge-Amp\`ere equation. For solutions near the equilibrium state, and through a long-time rescaling, one may establish a connection with the Euler equations. By exploiting this link, I will describe how to recover controllability results (Lagrangian and Eulerian) for the dual semi-geostrophic equation. |
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