partial-differential-equations

Isentropic gas flow -- Riemann invariants and shock formation

taught

Derive the Riemann invariants for one-dimensional isentropic gas flow, interpret them physically, linearize to recover the acoustic wave equation, and extend the scalar shock-formation criterion to the full system via a simple wave.

Taught in

Isentropic gas flow: Riemann invariants and shock formation
Partial Differential Equations

Requires

linear-to-quasilinear-systems required
riemann-invariants required

Required by

Nothing in the catalog needs this yet.

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