Completeness of inertial modes of an incompressible inviscid fluid in a corotating ellipsoid
Completeness of inertial modes of an incompressible inviscid fluid in a corotating ellipsoid
Inertial modes are the eigenmodes of contained rotating fluids restored by the Coriolis force. When the fluid is incompressible, inviscid, and contained in a rigid container, these modes satisfy Poincaré's equation that has the peculiarity of being hyperbolic with boundary conditions. Inertial modes are, therefore, solutions of an ill-posed boundary-value …