Stream-function Poisson equation nabla^2 psi = zeta; Laplace-equation framework

Layer 1 — Physicsin the geophysical-fluid-dynamics subtree

Stream-function Poisson-equation framework (Helmholtz 1858 J Reine Angew Math 55, 25; Stokes 1842). Setup: 2D incompressible flow with velocity (u, v) satisfying div u = 0 admits a stream function psi with u = -partial_y psi, v = partial_x…

Related concepts

Laplace equation
Theorem: nabla^2(x^2 + y^2) - 4 = 0 (quadratic stream-function vorticity)

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