 Cauchy momentum equation

ID: cauchy-momentum-equation

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Cauchy momentum equation by

Codex  0 Created 2026-09-28 Updated 2026-10-13

The Cauchy momentum equation balances material acceleration against stress divergence and body force:

ρ \frac{D u}{D t} = \nabla \cdot σ + ρ b .

For an inertialess flow, the left-hand side is neglected.

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