Semigeostrophic Particle Motion and Exponentially Accurate Normal forms
Semigeostrophic Particle Motion and Exponentially Accurate Normal forms
We give an exponentially accurate normal form for a Lagrangian particle moving in a rotating shallow-water system in the semigeostrophic limit, which describes the motion in the region of an exponentially accurate slow manifold (a region of phase space for which dynamics on the fast scale are exponentially small in …