A Fully Nonlinear Version of the Incompressible Euler Equations: The Semigeostrophic System
A Fully Nonlinear Version of the Incompressible Euler Equations: The Semigeostrophic System
The semigeostrophic equations are used in meteorology. They appear as a variant of the two‐dimensional Euler incompressible equations in vorticity form, where the Poisson equation that relates the stream function and the vorticity field is just replaced by the fully nonlinear elliptic Monge–Ampère equation. This work gathers new results concerning …