Abstract
Strichartz estimates for rotating fluids have already been used to show that the velocity fields converge, as the Rossby number goes to zero, to a solution of a nearly two-dimensional Navier–Stokes system. Using a similar method, it is possible to get results of convergence also in the non-viscous case—to solutions of a nearly two-dimensional Euler system. The initial data do not need to be well prepared, and the limit can be as singular as a vortex patch or a Yudovich solution.
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