On linear internal waves on the sea, strongly vertically trapped

Abstract

We study some explicit cases of marine thermocline. We focus our attention on the strongly vertically trapped internal waves, which in our cases allow an explicit dispersion relation and a simple behaviour in terms of elementary functions. The explicit form of the Vaisala-Brunt frequency N2{z) is proportional to 1 / z—20| in one case and to A2—B2(z—zD)2 in the other. A comparison with some experimental data concerning the Ligurian Sea is actually in course.