Brunt-Vaisala frequency N^2 = g (d theta/dz) / theta via Sturm-Liouville framework

Layer 1 — Physicsin the atmospheric-physics subtree

Brunt-Vaisala / Sturm-Liouville atmospheric-stratification framework. Setup: in a stably stratified atmosphere, a fluid parcel displaced vertically by delta z experiences a restoring buoyancy acceleration (Brunt 1927 Quart J R Meteor Soc…

Related concepts

Sturm–Liouville theory
Theorem: for linear theta(z) = theta_0 + beta z, N^2 theta - g d theta/dz = 0 identically

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