Lecture 13: Gas dynamics in one space dimension.

Scalar wave equation reviewed. Unsteady gas dynamics in one dimension.
The method of characteristics. Riemann invariants. Expansion fans and particle paths.
The conditions for shock formation. Steady homentropic flow. Linearized theory.

Suggested reading

• Landau & Lifshitz: 391-397
• Courant and Friedrichs 79-107
• Notes pp. 15-21.