Rossby-wave limits: ω(k→0)=0; ω(l=0)=-β/k

Layer 1 — Physicsin the geophysical-fluid-dynamics subtree

Sympy-exact witness of the Rossby-wave dispersion-relation limiting cases. Setup: ω = -β·k/(k²+l²) as a three-symbol function. Identity 1 (long-zonal-wave cut-off): sp.limit ω as k → 0 gives 0 — zero-frequency cut-off, consistent with…

Related concepts

Explore Rossby-wave limits: ω(k→0)=0; ω(l=0)=-β/k on the interactive knowledge graph →