 Riemann invariants for one-dimensional isentropic flow

ID: riemann-invariants-for-one-dimensional-isentropic-flow

Codex  0 Created 2026-09-29 Updated 2026-10-31

For a barotropic pressure law with

c^{2} = d p / d ρ

, the invariants

R_{\pm} = u \pm \int^{ρ} \frac{c ( s )}{s} d s

obey

[\partial_{t} + (u \pm c) \partial_{x}] R_{\pm} = 0

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