Laplace tidal equations

Summary

The Laplace tidal equations are the linear shallow water equations on a rotating sphere, forced by the tide-generating potential. They were introduced by Pierre-Simon Laplace and they are the basis of the dynamic theory of the tides. They include the Coriolis force and the varying depth of the ocean. They explain features that the equilibrium theory cannot, such as amphidromic points and resonances. Numerical solutions of these equations, with friction added, are the basis of modern global tide models.