Deep-water capillary-gravity dispersion relation
= Deep-water capillary-gravity dispersion relation
{title2=$c^2=\frac gk+\frac T\rho k$}
A harmonic <velocity potential> decaying with depth, together with linearized kinematic and Bernoulli <boundary conditions> and <capillary pressure>, gives $\omega^2=gk+(T/\rho)k^3$. The corresponding <phase speed> combines long-wave <gravity> and short-wave capillarity contributions.