= Gravity-vorticity interface wave
{title2=$2k(c-U_i)^2-[U\prime](c-U_i)-g\Delta\rho/(2\rho_0)=0$}
At an isolated interface with continuous base <velocity>, a stable density drop $\Delta\rho/2$ and a jump $[U']$ of base shear, decaying disturbances $w\propto e^{-k|z-z_i|}$ obey the displayed <dispersion relation>. It follows by inserting their derivative jump $[w']=-2kw$ into the <jump conditions for stratified inviscid shear flow>. Both the density jump and the <vorticity> jump contribute to the intrinsic <phase velocity> $c-U_i$.
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