Laplace Tidal Equations
Shallow-water equations on a rotating sphere describing global tidal dynamics.
∂u/∂t - fv = -g ∂η/∂x + Fx
∂v/∂t + fu = -g ∂η/∂y + Fy
∂η/∂t + H(∂u/∂x + ∂v/∂y) = 0
Where f = 2Ωsin(φ) is the Coriolis parameter
Kelvin waves propagate along coastlines; Poincare waves propagate in open ocean.