Internal-wave dispersion omega = N sin(theta); so(2) rotation in (k_h, k_z)

Layer 1 — Physicsin the ocean-physics subtree

Internal-gravity-wave dispersion framework (Mowbray-Rarity 1967 J Fluid Mech 28, 1). Setup: in a stably-stratified fluid (Brunt-Vaisala N > 0), internal waves with wavevector k = (k_h, k_z) and frequency omega satisfy the dispersion…

Related concepts

so(n) orthogonal Lie algebra: antisymmetric n×n matrices
Theorem: omega^2 - N^2 sin^2(theta) at theta = pi/2 equals 0 (internal-wave isentropic limit)

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