Classical solutions for the 3D quasi-geostrophic system on a bounded domain (Q2116260)

Inviscid quasigeostrophic flow, which is the asymptotic limit of 3D Euler equations as the Rossby number tends to \(0\), is considered on bounded cylindrical domains of the form \(\Omega\times[0,h]\times[0,T]\). After a reduction to an elliptic problem with nonstandard boundary condition, the existence of classical solutions is proved for suitable data.